\nDepartment of Mathematics and Computer Science<\/strong><\/p>\n
Research Interests in Mathematics:<\/h2>\n![\"IMG_0435\"](\"https:\/\/people.brandonu.ca\/lic\/files\/2013\/08\/IMG_0435-300x225.jpg\")
<\/a>In Ankara, Turkey for a joint research in distribution theory.<\/p><\/div>\n
Distribution theory, generalized integral transforms in Banach spaces, and nonlinear fractional differential equations using fixed point theory.<\/p>\n
Fractional calculus is the theory of integrals and derivatives of arbitrary order, which unifies and generalizes integer-order differentiation and n-fold integration. The beginning of fractional calculus is considered to be Leibniz’s letter to L’Hospital in 1695, where the notation for differentiation of non-integer orders was discussed. I am currently working on fractional calculus of distributions, the generalized fractional Laplacian, and nonlinear integral, differential and integro-differential equations using fixed point theory.<\/p>\n
Research Interests in Computer Science:<\/h2>\n![\"IMG_0865\"](\"https:\/\/people.brandonu.ca\/lic\/files\/2013\/08\/IMG_0865-300x225.jpg\")
<\/a>J.F. Colombeau and Chenkuan Li at a conference in Vienna.<\/p><\/div>\n
Algorithm analysis and data networking.<\/p>\n
Current studies of messy broadcasting have so far concentrated on finding worst-case times. However, such worst-case scenarios are extremely unlikely to occur in general. Hence, finding average-case times for completing messy broadcasting in various network topologies is both necessary and meaningful in practice. The area of my research is focused on seeking the average messy broadcast times of networks such as hypercubes, d-ary trees and complete graphs using randomized algorithms and probability theory. Furthermore, the approach I introduced for average-case time complexity can also be used to simplify the proofs of existing results of worst-case situations.<\/p>\n
Teaching Experience:<\/h2>\n
I have worked at the University of Regina<\/a>, University of Lethbridge<\/a>, University New Brunswick<\/a>, Cape Breton University<\/a>, University of Alberta (Augustana)<\/a><\/p>\n![\"Hello\"](\"https:\/\/people.brandonu.ca\/lic\/files\/2013\/08\/IMG_0420-300x225.jpg\")
<\/a>Giving a public lecture at the Universidad Nacional del Centro while working with
Dr. M. Aguirre in Argentina.<\/p><\/div>\n
before joining Brandon University in the summer of 2002, and have taught a wide range of courses from Mathematics to Computer Science. Here are the courses I have done in Brandon:<\/p>\n
\n- Computer Science I and II (62:160 and 161)<\/li>\n
- Discrete Structures and Programming I and II (62:256 and 257)<\/li>\n
- Digital Computer Fundamentals (62:264)<\/li>\n
- Database Systems (and Oracle) (62:371)<\/li>\n
- Design and Analysis of Algorithms (62:373)<\/li>\n
- Analysis of Algorithms (62:473)<\/li>\n
- Data Communications and Networking (62:376)<\/li>\n
- Advanced Topics in Computer Science (62:499)<\/li>\n
- Advanced Topics in Mathematics (62:498)<\/li>\n
- Calculus I (62:181)<\/li>\n
- Real Analysis I and II (62:351 and 352)<\/li>\n
- Theory of Computation (62:461)<\/li>\n
- Complex Analysis (62:363)<\/li>\n
- Ordinary and Partial Differential Equations (62:385)<\/li>\n
- Senior Seminars in Computer Science (62:483)<\/li>\n<\/ul>\n
Recent Awards<\/h2>\n\n An NSERC discovery grant from 2019 to 2025
\n The Brandon University Senate Award for Excellence in Teaching 2016
\n The Brandon University Senate Award for Excellence in Research 2015<\/p>\n<\/ul>\nSubmissions<\/h2>\n
10. Mohammad Saeid Abolhassanifar, Reza Saadati, Mohammad Bagher Ghaemi and Chenkuan Li, Blow-up and core transition for mass-constrained nonlinear Schr\u00f6dinger equations with combined nonlinearities.<\/p>\n
9. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability Analysis of Nonlinear Fractional-Order Volterra Integro-Differential Equations with N Time Delays.<\/p>\n
8. Chenkuan Li, On the Uniqueness of Solutions to a Nonlinear Fractional Pantograph-Type Equation with a Functional Initial Condition.<\/p>\n
7. Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi and Chenkuan Li, A novel analytical framework for fractional PDEs via $\\Psi$-Hilfer derivatives and Barbashin-type structures. <\/p>\n
6. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability Analysis of the Hadamard Fractional-Order Systems with Time Delays. <\/p>\n
5. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Analyzing Tempered $ \\mathfrak{P}$-Hilfer-Hadamard Hybrid Implicit Boundary Value Problem via a class of $ \\mathfrak{P}$-Mittag-Leffler-type functions. <\/p>\n
4. Laith Hawawsheh, Chenkuan Li, and Reza Saadati, The maximal operator over the unit sphere in $R^n$. <\/p>\n
3. Chenkuan Li, Ehsan Pourhadi and Ying Ying Ou, The Nonlinear Bagley\u2013Torvik Equation with Functional Boundary Conditions. <\/p>\n
2. Chenkuan Li, Ehsan Pourhadi and Alison Gray, A Generalized Nonlinear Bagley\u2013Torvik Equation in Distributions.<\/p>\n
1. Ehsan Pourhadi and Chenkuan Li, A Perov-type framework for existence, uniqueness, and Ulam\u2013Hyers stability of nonlinear fractional partial differential equations.<\/p>\n<\/ul>\n
Book Publications<\/h2>\n
1. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li and Tofigh Allahviranloo, Towards Ulam Type Multi Stability Analysis<\/a> by Springer (July 2024), 571 pages.<\/p>\n2. Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Chenkuan Li and Javad Vahidi, Optimal stability theory and approximate solutions of fractional systems<\/a> by Springer (October 2025), 383 pages.<\/p>\n<\/ul>\nChapter Publications<\/h2>\n
1. Chenkuan Li, Remarks on Nonlinear Fractional Differential Equation<\/a> (Chapter 11) in the book “Advances in Computational Methods and Modeling for Science and Engineering<\/a>” 1st Edition – February, 123–155 (2025) by Elsevier. <\/p>\n2. Chenkuan Li, A review on the products of distributions<\/a>, Mathematical Methods in Engineering, Springer (2007), 71 – 96.<\/p>\n<\/ul>\nPeer Reviewed Journals<\/h2>\n
112. Chenkuan Li, Wenyuan Liao and Ying-Ying Ou, Existence, Uniqueness, and Hyers\u2013Ulam’s Stability of the Nonlinear Bagley\u2013Torvik Equation with Functional Initial Conditions.<\/a> Mathematics 2026, 14, 286. pp 1–19. <\/p>\n111. Chenkuan Li and Ehsan Pourhadi, Theoretical analysis on the nonlinear fractional differential equations and generalized heat equation.<\/a> Filomat 39 (2025), 7403-7425.<\/p>\n110. Chenkuan Li and Wenyuan Liao, Applications of inverse operators to a fractional partial integro-differential equation and several well-known differential equations.<\/a> Fractal Fract. 2025, 9, 200. pp 1–39.<\/p>\n109. Chenkuan Li, Studies on fractional differential equations with functional boundary condition by inverse operators.<\/a> Mathematical Methods in the Applied Sciences, 2025; 48:11161\u201311170.<\/p>\n108. Chenkuan Li, The time-fractional wave equation with variable coefficients.<\/a> Mathematics 2025, 13, 2369.<\/p>\n107. Chenkuan Li, Nate Fingas and Ying Ying Ou, Remarks on a new variable-coefficient integro-differential equation via inverse operators.<\/a> Fractal Fract. 2025, 9, 404.<\/p>\n106. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, and Donal O\u2019Regan, Enhancing stability in fractional-order systems: criteria and applications.<\/a> Fractal Fract. 2025, 9, 345.<\/p>\n105. Chenkuan Li, Reza Saadati, Safoura Rezaei Aderyani and Min-Jie Luo, On the generalized fractional convection-diffusion equation with initial condition in $\\mathbb R^n$.<\/a> Fractal Fract. 2025, 9, 347.<\/p>\n104. Ehsan Pourhadi and Chenkuan Li, A uniqueness criterion for McKean\u2013Vlasov fractional stochastic differential equations in $L_p$<\/a>. Chaos, Solitons and Fractals 200 (2025) 117153. <\/p>\n103. Chenkuan Li, A fixed-point approach to the existence of a fractional nonlinear integro-differential equation with variable coefficients and functional boundary condition<\/a>. Journal of Integral Equations and Applications Volume 37 (2025), No. 4, 437\u2013449.<\/p>\n102. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Exploring stability in the Hilfer-Hadamard fractional order systems: insights from numerical analysis and simulations<\/a>. Journal of Applied Mathematics and Computing. Published Online: June 24 (2025). https:\/\/doi.org\/10.1007\/s12190-025-02547-4<\/p>\n101. Walid Remilia, Azedine Rahmounea and Chenkuan Li, Numerical Solutions of Weakly Singular Nonlinear Volterra Integral Equations with Smooth and Non-Smooth Solutions over Large Time Intervals.<\/a> Mathematical Methods in the Applied Sciences. (2025), 1\u201315<\/p>\n100. Chenkuan Li, Wenyuan Liao and Reza Saadati, An inverse operator approach to a fractional nonlinear integro-differential equation.<\/a> Analysis in Theory and Applications. 41 (2025), 172–196. <\/p>\n99. Chenkuan Li, Existence for a nonlinear integro-differential equation with the Hilfer fractional derivative.<\/a> Journal of Integral Equations and Applications. 37 (2025), 91-99. <\/p>\n98. Chenkuan Li, On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators<\/a>. Fract. Calc. Appl. Anal. 28 (2025), 386–410.<\/p>\n97. Chenkuan Li, Uniqueness and Hyers-Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition.<\/a> Canad. J. Math. Vol. 77 (4), 2025 pp. 1377\u20131397.<\/p>\n96. Chenkuan Li, Reza Saadati and Tofigh Allahviranloo, Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients.<\/a> Math. Meth. Appl. Sci. 48 (2025), 7226–7237.<\/p>\n95. Chenkuan Li, Reza Saadati, Joshua Beaudin, Elisha Tariq and McKayla Brading, Some results on a nonlinear fractional equation with nonlocal boundary condition.<\/a> Math. Meth. Appl. Sci. 47 (2024), 13581–13600.<\/p>\n94. Chenkuan Li, Reza Saadati, Fatemeh Mottaghi and Mohammad Bagher Ghaemi, Existence of solutions for the nonlinear integro-differential system.<\/a> Math Sci 18 (2024), 1-8.
\nhttps:\/\/doi.org\/10.1007\/s40096-022-00479-9<\/p>\n93. Zahra Eidinejad, Reza Saadati, Javad Vahidi, Chenkuan Li and Tofigh Allahviranloo, The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions.<\/a> Boundary Value Problems (2024) 2024:120
\nhttps:\/\/doi.org\/10.1186\/s13661-024-01928-1<\/p>\n92. Walid Remilia, Azedine Rahmounea and Chenkuan Li, Galerkin spectral method for linear second-kind Volterra integral equations with weakly singular kernels on large intervals.<\/a> Math. Meth. Appl. Sci. (47) 2024, 2329-2344. <\/p>\n91. Joshua Beaudin and Chenkuan Li, Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in R^n.<\/a> J. Math. Computer Sci. 33 (2024), 420-430.<\/p>\n90. Zahra Eidinejad, Reza Saadati, Chenkuan Li, Mustafa Inc, and Javad Vahidi, The multiple exp-function method to obtain soliton solutions of the conformable Date\u2013Jimbo\u2013Kashiwara\u2013Miwa equations.<\/a> International Journal of Modern Physics B 38 (2024) 2450043 (15 pages)<\/p>\n89. Chenkuan Li, Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients<\/a>. Boundary Value Problems (2023) 2023:26 <\/p>\n88. Chenkuan Li, Reza Saadati, Donal O’Regan, Radko Mesiar and Andrii Hrytsenko, A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions.<\/a> Math. Meth. Appl. Sci. 46 (2023), 17010–17019.<\/p>\n87. Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko, On the uniqueness of bounded solution for the fractional nonlinear partial integro-differential equation with approximations.<\/a> Mathematics 2023, 11, 2752. https:\/\/doi.org\/10.3390\/math11122752<\/p>\n86. Chenkuan Li, Kamsing Nonlaopon, Andrii Hrytsenko and Joshua Beaudin, On the analytic and approximate solutions for the fractional nonlinear Schrodinger equations<\/a>. Journal of Nonlinear Sciences and Applications 16 (2023), 51\u201359. <\/p>\n85. Chenkuan Li, Reza Saadati and Zahra Eidinejad, Fixed point results for the fractional nonlinear problem with integral boundary condition.<\/a> Mediterr. J. Math. (2023) 20:298 https:\/\/doi.org\/10.1007\/s00009-023-02498-9 <\/p>\n84. Chenkuan Li, Joshua Beaudin, Azedine Rahmounea and Walid Remilia, A matrix Mittag-Leffler function and the fractional nonlinear partial integro-differential equation in $R^n$.<\/a> Fractal Fract. 2023, 7, 651. https:\/\/doi.org\/10.3390\/fractalfract7090651<\/p>\n83. Waritsara Thongthai, Kamsing Nonlaopon, Somsak Orankitjaroen, Chenkuan Li, Generalized solutions of ordinary differential equations related to the Chebyshev polynomial of the second kind.<\/a> Mathematics 2023, 11, 1725. https:\/\/doi.org\/10.3390\/math11071725<\/p>\n82. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, Themistocles M. Rassias and Choonkil Park, Special functions and multi-stability of the Jensen type random operator equation in C*-algebras via fixed point<\/a>. Journal of Inequalities and Applications (2023) 2023:35 https:\/\/doi.org\/10.1186\/s13660-023-02942-0<\/p>\n81. Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo and Chenkuan Li, A novel stability study on volterra integral equations with delay (VIE-D) using the fuzzy minimum optimal controller in matrix-valued fuzzy Banach spaces.<\/a> Computational and Applied Mathematics (2023) 42:215 https:\/\/doi.org\/10.1007\/s40314-023-02362-2<\/p>\n80. Mohammad Bagher Ghaemi, Fatemeh Mottaghi, Chenkuan Li and Reza Saadati, Existence and regularity results for a system of \u039b- Hilfer fractional differential equations by the generalized Lax-Milgram theorem.<\/a> Indian J Pure Appl Math (2023)
\nhttps:\/\/doi.org\/10.1007\/s13226-023-00415-0<\/p>\n79. Zahra Eidinejad, Reza Saadati, Javad Vahidi and Chenkuan Li, Numerical solutions of 2D stochastic time-fractional Sine\u2013Gordon equation in the Caputo sense<\/a>. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 36 (2023);e3121. https:\/\/doi.org\/10.1002\/jnm.3121 <\/p>\n78. Safoura Rezaei Aderyani, Reza Saadati, Donal O\u2019Regan and Chenkuan Li, On a new approach for stability and controllability analysis of functional equations.<\/a> Mathematics 2023, 11, 3458. https:\/\/doi.org\/10.3390\/math11163458<\/p>\n77. Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko, Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler.<\/a> Boundary Value Problems (2023) 2023:96 <\/p>\n76. Donal O\u2019Regan, Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability results and parametric delayed Mittag\u2013Leffler matrices in symmetric fuzzy\u2013random spaces with application.<\/a> Symmetry 2023, 15, 1880. https:\/\/doi.org\/10.3390\/sym15101880 <\/p>\n75. Chenkuan Li, Reza Saadati, Rekha Srivastava and Joshua Beaudin, On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations<\/a>. Mathematics 2022, 10, 1971. https:\/\/doi.org\/10.3390\/math10121971<\/p>\n74. Radko Mesiar, Chenkuan Li, Abbas Ghaffari and Reza Saadati, Fuzzy Caratheodory\u2019s Theorem and Outer *-Fuzzy Measure<\/a>. Axioms 2022, 11, 240. https:\/\/doi.org\/10.3390\/axioms11050240 <\/p>\n73. Zahra Eidinejad, Reza Saadati and Chenkuan Li, Laplace inverse and MR approach to existence of a unique solution and the Hyers\u2013Ulam\u2013Wright stability analysis of the nonhomogeneous fractional delay oscillation equation by matrix-valued fuzzy controllers.<\/a> Journal of Inequalities and Applications (2022) 2022:129
\nhttps:\/\/doi.org\/10.1186\/s13660-022-02869-y<\/p>\n72. Donal O’Regan, Reza Saadati, Chenkuan Li and Fahd Jarad, The Hausdorff-Pompeiu distance in Gn-Menger fractal spaces<\/a>. Mathematics 2022, 10, 2958. https:\/\/doi.org\/10.3390\/math10162958 <\/p>\n71. Hari Srivastava, Reza Chaharpashlou, Reza Saadati and Chenkuan Li, A fuzzy random boundary value problem<\/a>. Axioms 2022, 11, 414. https:\/\/doi.org\/10.3390\/axioms11080414<\/p>\n70. Zahra Eidinejad, Reza Saadati, Radko Mesiar and Chenkuan Li, New stability results of an ABC fractional differential equation in the symmetric matrix-valued FBS.<\/a> Symmetry 2022, 14, 2667. https:\/\/doi.org\/10.3390\/sym14122667<\/p>\n69. Chenkuan Li, Uniqueness of the partial integro-differential equations<\/a>. Journal of Integral Equations and Applications Volume 33 (2021), No. 4, 463\u2013475.<\/p>\n69. Chenkuan Li, On the generalized fractional Laplacian<\/a>. Fract. Calc. Appl. Anal., Vol. 24, No 6 (2021), pp. 1797\u20131830, DOI: 10.1515\/fca-2021-0078 <\/p>\n67. Fatemeh Mottaghi, Chenkuan Li, Thabet Abdeljawad, Reza Saadati and Mohammad Bagher Ghaemi, Existence and Kummer stability for a system of nonlinear $\\phi$–Hilfer fractional differential equations with application<\/a>. Fractal Fract. 2021, 5, 200. https:\/\/doi.org\/10.3390\/fractalfract5040200<\/p>\n66. Chenkuan Li, Rekha Srivastava and Kyle Gardiner, Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based Upon the Multivariate Mittag-Leffler Function<\/a>. Mathematics 2021, 9, 2733. https:\/\/doi.org\/10.3390\/math9212733 <\/p>\n65. Chenkuan Li and Hari M. Srivastava, Uniqueness of solutions of the generalized Abel integral equations in Banach spaces <\/a>. Fractal Fract. 2021, 5, 105. https:\/\/doi.org\/10.3390\/fractalfract5030105<\/p>\n64. Chenkuan Li and Joshua Beaudin, On the nonlinear integro-differential equations<\/a>. Fractal Fract. 2021, 5, 82. https:\/\/doi.org\/10.3390\/fractalfract5030082<\/p>\n63. Chenkuan Li and Joshua Beaudin, Uniqueness of Abel\u2019s integral equations of the second kind with variable coefficients<\/a>. Symmetry 2021, 13, 1064. https:\/\/doi.org\/10.3390\/sym13061064 <\/p>\n62. Chenkuan Li, On the nonlinear Hadamard-type integro-differential equation<\/a>, Fixed Point Theory and Algorithms for Sciences and Engineering (2021) 2021:7<\/p>\n61. Chenkuan Li, Uniqueness of the Hadamard-type integral equations<\/a>, Advances in Di\ufb00erence Equations (2021) 2021:40<\/p>\n60. Chenkuan Li, An example of the generalized fractional Laplacian<\/a>, Contemporary Mathematics 1 (2020), 215-226. doi.org\/10.37256\/cm.142020489<\/p>\n59. Chenkuan Li and Joshua Beaudin, On the generalized Riesz derivative<\/a>, Mathematics 2020, 8, 1089; doi:10.3390\/math8071089<\/p>\n58. Chenkuan Li, The generalized Abel’s integral equations on R^n with variable coefficients<\/a>, Fractional Differential Calculus 10, (2020), 129-140.<\/p>\n57. Chenkuan Li and Jianfei Huang, Remarks on the linear fractional integro-differential equation with variable coefficients in distribution<\/a>, Fractional Differential Calculus 10, (2020), 57-77.<\/p>\n56. Chenkuan Li and Changpin Li, The Fractional Green’s Function by Babenko’s Approach<\/a>, Tbilisi Mathematical Journal 13 (2020), 19-42.<\/p>\n55. Chenkuan Li and Hunter Plowman, Solutions of the Generalized Abel\u2019s Integral Equations of the Second Kind with Variable Coefficients<\/a>, Axioms 2019, 8, 137; doi:10.3390\/axioms8040137<\/p>\n54. Chenkuan Li, Changpin Li, Thomas Humphries, and Hunter Plowman, Remarks on the generalized fractional Laplacian operator<\/a>, Mathematics 2019, 7, 320; doi:10.3390\/math7040320.<\/p>\n53. Chenkuan Li, Thomas Humphries, and Hunter Plowman, Solutions to Abel’s integral equations in distributions<\/a>, Axioms 2018, 7(3), 66; doi:10.3390\/axioms7030066.<\/p>\n52. Chenkuan Li, Changpin Li and Kyle Clarkson, Several Results of Fractional Differential and Integral Equations in Distribution<\/a>, Mathematics 2018, 6, 97; doi:10.3390\/math6060097<\/p>\n51. Chenkuan Li, The Convolution of Analytic Functionals<\/a>, The Journal of Analysis, 78 (2018); doi.org\/10.1007\/s41478-018-0078-5<\/p>\n50. Chenkuan Li and Kyle Clarkson, Babenko’s Approach to Abel’s Integral Equations<\/a>, Mathematics 2018, 6, 32; doi:10.3390\/math6030032<\/p>\n49. Chenkuan Li and Kyle Clarkson, Remarks On the Convolutions and Fractional
\nDerivative of Distributions<\/a>, Journal of Mathematics Research, 10 (2018), 6-19.<\/p>\n48. Chenkuan Li, Kyle Clarkson and Vrajna Patel, The Convolution and Fractional Derivative of Distributions<\/a>, Advances in Analysis 3 (2018), 82-99.<\/p>\n47. Chenkuan Li, The Product and Fractional Derivative of
\nAnalytic Functionals<\/a>, International Journal of Mathematical Analysis, 11 (2017), 955-972.<\/p>\n46. Chenkuan Li, Changpin Li, Bailey Kacsmar, Roque Lacroix and Kyle Tilbury, The Abel integral equations in distribution<\/a>, Advances in Analysis, 2 (2017), 88-104.<\/p>\n45. Chenkuan Li and Changpin Li, Remarks on fractional derivatives of distributions<\/a>, Tbilisi Mathematical Journal, 10 (2017), 1-18.<\/p>\n44. Chenkuan Li, The powers of the Dirac delta function by Caputo fractional derivatives<\/a>, Journal of Fractional Calculus and Applications (JFCA), 7 (2016), 12-23.<\/p>\n43. Chenkuan Li, Several results of fractional derivatives in D'(R_+)<\/a>, Fractional Calculus and Applied Analysis (FCAA), 18 (2015), 192-207.<\/p>\n42. Chenkuan Li and Changpin Li, On defining the distributions delta^k and delta’^k by fractional derivatives<\/a>, Appl. Math. Comput., 246 (2014), 502-513.<\/p>\n41. Chenkuan Li, \u00a0Asymptotic expressions of several distributions on the sphere<\/a>,\u00a0 BJMCS, \u00a03 (2013),\u00a0 73-85.<\/p>\n40. Chenkuan Li,\u00a0 Several asymptotic products of particular distributions<\/a>, \u00a0BJMCS, \u00a03 (2013), \u00a0291-303.<\/p>\n39. Chenkuan Li and Manuel Aguirre,\u00a0 The distributional products on spheres and Pizzetti’s formula<\/a>,\u00a0 J. Comput. Appl. Math., \u00a0235 (2011), \u00a01482-1489.<\/p>\n38. Chenkuan Li,\u00a0 An asymptotic product for $X^s \\delta^{(k)}(r^2 – t^2)$<\/a>,\u00a0\u00a0 IJPAM, 72 (2011), 65-80.<\/p>\n37. Chenkuan Li, Several products of distributions on manifolds<\/a>, NSJOM, 39 (2009), 31-46.<\/p>\n36. \u00a0Chenkuan Li, The Hankel convolution of arbitrary order<\/a>, IJPAM,\u00a0 55 (2009), 247-256.<\/p>\n35. Chenkuan Li, The products of distributions on manifolds and invariant theorem<\/a>, JAA, 6 (2008), 77-95.<\/p>\n34. Chenkuan Li, Thomas E. Hart, Kevin J. Henry and Ian A. Neufeld, Average-case messy broadcasting<\/a>, JOIN, 19 (2008), 487-505.<\/p>\n33. Chenkuan Li, Yang Zhang, Manuel Aguirre and Ricky Tang, The product of analytic functionals in Z’<\/a>, J. Korean Math. Soc., 45 (2008), 455-466.<\/p>\n32. Chenkuan Li, Several results on the commutative neutrix product of distributions<\/a>, Integral transforms Spec. Funct., 18 (2007), 559-568.<\/p>\n31. Chenkuan Li and Manuel Aguirre, The distributional products by the Laurent series<\/a>, Thai J. Math., 4 (2006), 305-319.<\/p>\n30. Chenkuan Li, The products on the unit sphere and even-dimension spaces<\/a>, J. Math. Anal. Appl. 305 (2005), 97 – 106.<\/p>\n29. Chenkuan Li, An approach for distributional products on R^m<\/a>, Integral Transforms Spec. Funct. 16 (2005), 139 – 151.<\/p>\n28. Chenkuan Li, A kernel theorem from the Hankel transform in Banach spaces<\/a>, Integral Transforms Spec. Funct. 16 (2005), 565-581.<\/p>\n27. Chenkuan Li and Vincent Zou, On defining the product $r^{-k}.\\nabla^l \\delta$<\/a>, IJMMS, 16 (2004), 833 – 845.<\/p>\n26.Chenkuan Li, On the Hankel transform, International Journal of Applied Mathematics, Volume 12, Number 4 (2003), 397 – 405.<\/p>\n
25. Chenkuan Li, The neutrix square of $\\delta$, International Journal of Applied Mathematics, Volume 12, Number 2 (2003), 115 – 124.<\/p>\n
24. Chenkuan Li, The sequential approach to the product of distributions<\/a>, IJMMS, 28 (2001), 743 – 751.<\/p>\n23. Brian Fisher and Chenkuan Li, On the Cosine and Sine Integrals, International Journal of Applied Mathematics, Volume 7, Number 4 (2001), 419 – 437.<\/p>\n
22. Chenkuan Li, A note on the product $r^{-k} . \\nabla(\\triangle r^{2-m})$<\/a>, Integral Transforms Spec. Funct. 12(2001), 341 – 348.<\/p>\n21. Chenkuan Li, The product of $r^{-k}$ and $\\nabla\\delta$ on R^m<\/a>, IJMMS, 24 (2000), 361 – 369.<\/p>\n20. Brian Fisher, Adem Kilicman and Chenkuan Li, An extension of a result on the non-commutative neutrix convolution product of distributions, International Journal of Applied Mathematics, Volume 3, Number 1 (2000), 71 – 80.<\/p>\n
19. Chenkuan Li and E. L. Koh, The neutrix convolution product in Z'(m) and the exchange formula<\/a>, IJMMS, 21 (1998), 695 – 700.<\/p>\n18. E. L. Koh and Chenkuan Li, The kernel theorem on the space [H x A; B]<\/a>, Proc. Amer. Math. Soc. 123 (1995), 177 – 182.<\/p>\n17. E. L. Koh and Chenkuan Li, The Hankel transformation on M’ and its Representation<\/a>, Proc. Amer. Math. Soc. 122 (1994), 1085 – 1094.<\/p>\n16. E. L. Koh and Chenkuan Li, On the inverse of the Hankel Transform, Integral Transforms and Special Functions, Volume 2, Number 4 (1994), 279 – 282.<\/p>\n
15. E. L. Koh and Chenkuan Li, The Hankel transformation of Banach-space-valued generalized functions<\/a>, Proc. Amer. Math. Soc. 119 (1993), 153 – 163.<\/p>\n14. Brian Fisher and Chenkuan Li, A commutative neutrix convolution product of distributions<\/a>, Review of Research, 23 (1993), 13 – 27.<\/p>\n13. E. L. Koh and Chenkuan Li, On defending the generalized functions $\\delta^{\\alpha}(z)$ and $\\delta^n(x)$<\/a>, IJMMS, 16 (1993), 749 – 754.<\/p>\n12. Linzhi Cheng and Chenkuan Li, The convolution of distributions<\/a>, Mathematica Applicata, Volume 5, Number 4 (1992), 103 – 105.<\/p>\n11. E. L. Koh and Chenkuan Li, On the distributions $(\\delta’^k$ and $(\\delta”)^k$<\/a>, Math. Nachr. 157 (1992), 243 – 248.<\/p>\n10. Brian Fisher, Emin Ozcag and Chenkuan Li, A commutative neutrix convolution of distributions and exchange formula<\/a>, Archivum Mathematicum (BRNO) Tomus 28 (1992),
\n187 – 197.<\/p>\n9. Linzhi Cheng and Chenkuan Li, A commutative neutrix product of distributions on R^m<\/a>, Math. Nachr. 151 (1991), 345 – 355.<\/p>\n8. Brian Fisher and Chenkuan Li, On defending a non-commutative product of distributions in m variables, J. of Natural Sciences and Math. Volume 31, Number 2 (1991), 95 – 102.<\/p>\n
7. Brian Fisher and Chenkuan Li, A non-commutative neutrix product of distributions on R^m<\/a>, Review of Research, 21 (1991), 135 – 146.<\/p>\n6. Chenkuan Li and Brian Fisher, Examples of neutrix product of distributions on Rm,
\nRad. Math. Volume 6, Number 1 (1990), 129 – 137.<\/p>\n
5. Chenkuan Li and Brian Fisher, A product of distributions on a sphere, J. of Jiangsu Agricultural Institute (China), Volume 11, Number 2 (1990), 77 – 79.<\/p>\n
4. Brian Fisher and Chenkuan Li, On the product of distributions in m variables, J. of Jiangsu Agricultural Institute, Volume 11, Number 4 (1990), 1 – 10.<\/p>\n
3. Chenkuan Li, Power of Dirac distributions<\/a>, J. Math. Res. Exposition, 8 (1988), 635 – 636.<\/p>\n2. Linzhi Cheng and Chenkuan Li, The product of generalized functions<\/a>, J. Math. Res. Exposition, 8 (1988), 543 – 546.<\/p>\n1. Brian Fisher, Chenkuan Li and Arpad Takaci, The Fourier transform of distributions and exchange formulas, Mat. Vesink, Volume 40, Number 3 – 4 (1988), 209 – 216.<\/p>\n
Refereed Conference Publications<\/h2>\n
![\"IMG_0435\"](\"https:\/\/people.brandonu.ca\/lic\/files\/2013\/08\/IMG_0435.jpg\")
<\/a>In Ankara, Turkey for a joint research in distribution theory.<\/p><\/div>\n
Distribution theory, generalized integral transforms in Banach spaces, and nonlinear fractional differential equations using fixed point theory.<\/p>\n
Fractional calculus is the theory of integrals and derivatives of arbitrary order, which unifies and generalizes integer-order differentiation and n-fold integration. The beginning of fractional calculus is considered to be Leibniz’s letter to L’Hospital in 1695, where the notation for differentiation of non-integer orders was discussed. I am currently working on fractional calculus of distributions, the generalized fractional Laplacian, and nonlinear integral, differential and integro-differential equations using fixed point theory.<\/p>\n
Research Interests in Computer Science:<\/h2>\n<\/a>J.F. Colombeau and Chenkuan Li at a conference in Vienna.<\/p><\/div>\n
Algorithm analysis and data networking.<\/p>\n
Current studies of messy broadcasting have so far concentrated on finding worst-case times. However, such worst-case scenarios are extremely unlikely to occur in general. Hence, finding average-case times for completing messy broadcasting in various network topologies is both necessary and meaningful in practice. The area of my research is focused on seeking the average messy broadcast times of networks such as hypercubes, d-ary trees and complete graphs using randomized algorithms and probability theory. Furthermore, the approach I introduced for average-case time complexity can also be used to simplify the proofs of existing results of worst-case situations.<\/p>\n
Teaching Experience:<\/h2>\n
I have worked at the University of Regina<\/a>, University of Lethbridge<\/a>, University New Brunswick<\/a>, Cape Breton University<\/a>, University of Alberta (Augustana)<\/a><\/p>\n<\/a>Giving a public lecture at the Universidad Nacional del Centro while working with
Dr. M. Aguirre in Argentina.<\/p><\/div>\n
before joining Brandon University in the summer of 2002, and have taught a wide range of courses from Mathematics to Computer Science. Here are the courses I have done in Brandon:<\/p>\n
\n- Computer Science I and II (62:160 and 161)<\/li>\n
- Discrete Structures and Programming I and II (62:256 and 257)<\/li>\n
- Digital Computer Fundamentals (62:264)<\/li>\n
- Database Systems (and Oracle) (62:371)<\/li>\n
- Design and Analysis of Algorithms (62:373)<\/li>\n
- Analysis of Algorithms (62:473)<\/li>\n
- Data Communications and Networking (62:376)<\/li>\n
- Advanced Topics in Computer Science (62:499)<\/li>\n
- Advanced Topics in Mathematics (62:498)<\/li>\n
- Calculus I (62:181)<\/li>\n
- Real Analysis I and II (62:351 and 352)<\/li>\n
- Theory of Computation (62:461)<\/li>\n
- Complex Analysis (62:363)<\/li>\n
- Ordinary and Partial Differential Equations (62:385)<\/li>\n
- Senior Seminars in Computer Science (62:483)<\/li>\n<\/ul>\n
Recent Awards<\/h2>\n\n An NSERC discovery grant from 2019 to 2025
\n The Brandon University Senate Award for Excellence in Teaching 2016
\n The Brandon University Senate Award for Excellence in Research 2015<\/p>\n<\/ul>\nSubmissions<\/h2>\n
10. Mohammad Saeid Abolhassanifar, Reza Saadati, Mohammad Bagher Ghaemi and Chenkuan Li, Blow-up and core transition for mass-constrained nonlinear Schr\u00f6dinger equations with combined nonlinearities.<\/p>\n
9. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability Analysis of Nonlinear Fractional-Order Volterra Integro-Differential Equations with N Time Delays.<\/p>\n
8. Chenkuan Li, On the Uniqueness of Solutions to a Nonlinear Fractional Pantograph-Type Equation with a Functional Initial Condition.<\/p>\n
7. Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi and Chenkuan Li, A novel analytical framework for fractional PDEs via $\\Psi$-Hilfer derivatives and Barbashin-type structures. <\/p>\n
6. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability Analysis of the Hadamard Fractional-Order Systems with Time Delays. <\/p>\n
5. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Analyzing Tempered $ \\mathfrak{P}$-Hilfer-Hadamard Hybrid Implicit Boundary Value Problem via a class of $ \\mathfrak{P}$-Mittag-Leffler-type functions. <\/p>\n
4. Laith Hawawsheh, Chenkuan Li, and Reza Saadati, The maximal operator over the unit sphere in $R^n$. <\/p>\n
3. Chenkuan Li, Ehsan Pourhadi and Ying Ying Ou, The Nonlinear Bagley\u2013Torvik Equation with Functional Boundary Conditions. <\/p>\n
2. Chenkuan Li, Ehsan Pourhadi and Alison Gray, A Generalized Nonlinear Bagley\u2013Torvik Equation in Distributions.<\/p>\n
1. Ehsan Pourhadi and Chenkuan Li, A Perov-type framework for existence, uniqueness, and Ulam\u2013Hyers stability of nonlinear fractional partial differential equations.<\/p>\n<\/ul>\n
Book Publications<\/h2>\n
1. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li and Tofigh Allahviranloo, Towards Ulam Type Multi Stability Analysis<\/a> by Springer (July 2024), 571 pages.<\/p>\n2. Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Chenkuan Li and Javad Vahidi, Optimal stability theory and approximate solutions of fractional systems<\/a> by Springer (October 2025), 383 pages.<\/p>\n<\/ul>\nChapter Publications<\/h2>\n
1. Chenkuan Li, Remarks on Nonlinear Fractional Differential Equation<\/a> (Chapter 11) in the book “Advances in Computational Methods and Modeling for Science and Engineering<\/a>” 1st Edition – February, 123–155 (2025) by Elsevier. <\/p>\n2. Chenkuan Li, A review on the products of distributions<\/a>, Mathematical Methods in Engineering, Springer (2007), 71 – 96.<\/p>\n<\/ul>\nPeer Reviewed Journals<\/h2>\n
112. Chenkuan Li, Wenyuan Liao and Ying-Ying Ou, Existence, Uniqueness, and Hyers\u2013Ulam’s Stability of the Nonlinear Bagley\u2013Torvik Equation with Functional Initial Conditions.<\/a> Mathematics 2026, 14, 286. pp 1–19. <\/p>\n111. Chenkuan Li and Ehsan Pourhadi, Theoretical analysis on the nonlinear fractional differential equations and generalized heat equation.<\/a> Filomat 39 (2025), 7403-7425.<\/p>\n110. Chenkuan Li and Wenyuan Liao, Applications of inverse operators to a fractional partial integro-differential equation and several well-known differential equations.<\/a> Fractal Fract. 2025, 9, 200. pp 1–39.<\/p>\n109. Chenkuan Li, Studies on fractional differential equations with functional boundary condition by inverse operators.<\/a> Mathematical Methods in the Applied Sciences, 2025; 48:11161\u201311170.<\/p>\n108. Chenkuan Li, The time-fractional wave equation with variable coefficients.<\/a> Mathematics 2025, 13, 2369.<\/p>\n107. Chenkuan Li, Nate Fingas and Ying Ying Ou, Remarks on a new variable-coefficient integro-differential equation via inverse operators.<\/a> Fractal Fract. 2025, 9, 404.<\/p>\n106. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, and Donal O\u2019Regan, Enhancing stability in fractional-order systems: criteria and applications.<\/a> Fractal Fract. 2025, 9, 345.<\/p>\n105. Chenkuan Li, Reza Saadati, Safoura Rezaei Aderyani and Min-Jie Luo, On the generalized fractional convection-diffusion equation with initial condition in $\\mathbb R^n$.<\/a> Fractal Fract. 2025, 9, 347.<\/p>\n104. Ehsan Pourhadi and Chenkuan Li, A uniqueness criterion for McKean\u2013Vlasov fractional stochastic differential equations in $L_p$<\/a>. Chaos, Solitons and Fractals 200 (2025) 117153. <\/p>\n103. Chenkuan Li, A fixed-point approach to the existence of a fractional nonlinear integro-differential equation with variable coefficients and functional boundary condition<\/a>. Journal of Integral Equations and Applications Volume 37 (2025), No. 4, 437\u2013449.<\/p>\n102. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Exploring stability in the Hilfer-Hadamard fractional order systems: insights from numerical analysis and simulations<\/a>. Journal of Applied Mathematics and Computing. Published Online: June 24 (2025). https:\/\/doi.org\/10.1007\/s12190-025-02547-4<\/p>\n101. Walid Remilia, Azedine Rahmounea and Chenkuan Li, Numerical Solutions of Weakly Singular Nonlinear Volterra Integral Equations with Smooth and Non-Smooth Solutions over Large Time Intervals.<\/a> Mathematical Methods in the Applied Sciences. (2025), 1\u201315<\/p>\n100. Chenkuan Li, Wenyuan Liao and Reza Saadati, An inverse operator approach to a fractional nonlinear integro-differential equation.<\/a> Analysis in Theory and Applications. 41 (2025), 172–196. <\/p>\n99. Chenkuan Li, Existence for a nonlinear integro-differential equation with the Hilfer fractional derivative.<\/a> Journal of Integral Equations and Applications. 37 (2025), 91-99. <\/p>\n98. Chenkuan Li, On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators<\/a>. Fract. Calc. Appl. Anal. 28 (2025), 386–410.<\/p>\n97. Chenkuan Li, Uniqueness and Hyers-Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition.<\/a> Canad. J. Math. Vol. 77 (4), 2025 pp. 1377\u20131397.<\/p>\n96. Chenkuan Li, Reza Saadati and Tofigh Allahviranloo, Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients.<\/a> Math. Meth. Appl. Sci. 48 (2025), 7226–7237.<\/p>\n95. Chenkuan Li, Reza Saadati, Joshua Beaudin, Elisha Tariq and McKayla Brading, Some results on a nonlinear fractional equation with nonlocal boundary condition.<\/a> Math. Meth. Appl. Sci. 47 (2024), 13581–13600.<\/p>\n94. Chenkuan Li, Reza Saadati, Fatemeh Mottaghi and Mohammad Bagher Ghaemi, Existence of solutions for the nonlinear integro-differential system.<\/a> Math Sci 18 (2024), 1-8.
\nhttps:\/\/doi.org\/10.1007\/s40096-022-00479-9<\/p>\n93. Zahra Eidinejad, Reza Saadati, Javad Vahidi, Chenkuan Li and Tofigh Allahviranloo, The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions.<\/a> Boundary Value Problems (2024) 2024:120
\nhttps:\/\/doi.org\/10.1186\/s13661-024-01928-1<\/p>\n92. Walid Remilia, Azedine Rahmounea and Chenkuan Li, Galerkin spectral method for linear second-kind Volterra integral equations with weakly singular kernels on large intervals.<\/a> Math. Meth. Appl. Sci. (47) 2024, 2329-2344. <\/p>\n91. Joshua Beaudin and Chenkuan Li, Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in R^n.<\/a> J. Math. Computer Sci. 33 (2024), 420-430.<\/p>\n90. Zahra Eidinejad, Reza Saadati, Chenkuan Li, Mustafa Inc, and Javad Vahidi, The multiple exp-function method to obtain soliton solutions of the conformable Date\u2013Jimbo\u2013Kashiwara\u2013Miwa equations.<\/a> International Journal of Modern Physics B 38 (2024) 2450043 (15 pages)<\/p>\n89. Chenkuan Li, Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients<\/a>. Boundary Value Problems (2023) 2023:26 <\/p>\n88. Chenkuan Li, Reza Saadati, Donal O’Regan, Radko Mesiar and Andrii Hrytsenko, A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions.<\/a> Math. Meth. Appl. Sci. 46 (2023), 17010–17019.<\/p>\n87. Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko, On the uniqueness of bounded solution for the fractional nonlinear partial integro-differential equation with approximations.<\/a> Mathematics 2023, 11, 2752. https:\/\/doi.org\/10.3390\/math11122752<\/p>\n86. Chenkuan Li, Kamsing Nonlaopon, Andrii Hrytsenko and Joshua Beaudin, On the analytic and approximate solutions for the fractional nonlinear Schrodinger equations<\/a>. Journal of Nonlinear Sciences and Applications 16 (2023), 51\u201359. <\/p>\n85. Chenkuan Li, Reza Saadati and Zahra Eidinejad, Fixed point results for the fractional nonlinear problem with integral boundary condition.<\/a> Mediterr. J. Math. (2023) 20:298 https:\/\/doi.org\/10.1007\/s00009-023-02498-9 <\/p>\n84. Chenkuan Li, Joshua Beaudin, Azedine Rahmounea and Walid Remilia, A matrix Mittag-Leffler function and the fractional nonlinear partial integro-differential equation in $R^n$.<\/a> Fractal Fract. 2023, 7, 651. https:\/\/doi.org\/10.3390\/fractalfract7090651<\/p>\n83. Waritsara Thongthai, Kamsing Nonlaopon, Somsak Orankitjaroen, Chenkuan Li, Generalized solutions of ordinary differential equations related to the Chebyshev polynomial of the second kind.<\/a> Mathematics 2023, 11, 1725. https:\/\/doi.org\/10.3390\/math11071725<\/p>\n82. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, Themistocles M. Rassias and Choonkil Park, Special functions and multi-stability of the Jensen type random operator equation in C*-algebras via fixed point<\/a>. Journal of Inequalities and Applications (2023) 2023:35 https:\/\/doi.org\/10.1186\/s13660-023-02942-0<\/p>\n81. Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo and Chenkuan Li, A novel stability study on volterra integral equations with delay (VIE-D) using the fuzzy minimum optimal controller in matrix-valued fuzzy Banach spaces.<\/a> Computational and Applied Mathematics (2023) 42:215 https:\/\/doi.org\/10.1007\/s40314-023-02362-2<\/p>\n80. Mohammad Bagher Ghaemi, Fatemeh Mottaghi, Chenkuan Li and Reza Saadati, Existence and regularity results for a system of \u039b- Hilfer fractional differential equations by the generalized Lax-Milgram theorem.<\/a> Indian J Pure Appl Math (2023)
\nhttps:\/\/doi.org\/10.1007\/s13226-023-00415-0<\/p>\n79. Zahra Eidinejad, Reza Saadati, Javad Vahidi and Chenkuan Li, Numerical solutions of 2D stochastic time-fractional Sine\u2013Gordon equation in the Caputo sense<\/a>. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 36 (2023);e3121. https:\/\/doi.org\/10.1002\/jnm.3121 <\/p>\n78. Safoura Rezaei Aderyani, Reza Saadati, Donal O\u2019Regan and Chenkuan Li, On a new approach for stability and controllability analysis of functional equations.<\/a> Mathematics 2023, 11, 3458. https:\/\/doi.org\/10.3390\/math11163458<\/p>\n77. Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko, Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler.<\/a> Boundary Value Problems (2023) 2023:96 <\/p>\n76. Donal O\u2019Regan, Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability results and parametric delayed Mittag\u2013Leffler matrices in symmetric fuzzy\u2013random spaces with application.<\/a> Symmetry 2023, 15, 1880. https:\/\/doi.org\/10.3390\/sym15101880 <\/p>\n75. Chenkuan Li, Reza Saadati, Rekha Srivastava and Joshua Beaudin, On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations<\/a>. Mathematics 2022, 10, 1971. https:\/\/doi.org\/10.3390\/math10121971<\/p>\n74. Radko Mesiar, Chenkuan Li, Abbas Ghaffari and Reza Saadati, Fuzzy Caratheodory\u2019s Theorem and Outer *-Fuzzy Measure<\/a>. Axioms 2022, 11, 240. https:\/\/doi.org\/10.3390\/axioms11050240 <\/p>\n73. Zahra Eidinejad, Reza Saadati and Chenkuan Li, Laplace inverse and MR approach to existence of a unique solution and the Hyers\u2013Ulam\u2013Wright stability analysis of the nonhomogeneous fractional delay oscillation equation by matrix-valued fuzzy controllers.<\/a> Journal of Inequalities and Applications (2022) 2022:129
\nhttps:\/\/doi.org\/10.1186\/s13660-022-02869-y<\/p>\n72. Donal O’Regan, Reza Saadati, Chenkuan Li and Fahd Jarad, The Hausdorff-Pompeiu distance in Gn-Menger fractal spaces<\/a>. Mathematics 2022, 10, 2958. https:\/\/doi.org\/10.3390\/math10162958 <\/p>\n71. Hari Srivastava, Reza Chaharpashlou, Reza Saadati and Chenkuan Li, A fuzzy random boundary value problem<\/a>. Axioms 2022, 11, 414. https:\/\/doi.org\/10.3390\/axioms11080414<\/p>\n70. Zahra Eidinejad, Reza Saadati, Radko Mesiar and Chenkuan Li, New stability results of an ABC fractional differential equation in the symmetric matrix-valued FBS.<\/a> Symmetry 2022, 14, 2667. https:\/\/doi.org\/10.3390\/sym14122667<\/p>\n69. Chenkuan Li, Uniqueness of the partial integro-differential equations<\/a>. Journal of Integral Equations and Applications Volume 33 (2021), No. 4, 463\u2013475.<\/p>\n69. Chenkuan Li, On the generalized fractional Laplacian<\/a>. Fract. Calc. Appl. Anal., Vol. 24, No 6 (2021), pp. 1797\u20131830, DOI: 10.1515\/fca-2021-0078 <\/p>\n67. Fatemeh Mottaghi, Chenkuan Li, Thabet Abdeljawad, Reza Saadati and Mohammad Bagher Ghaemi, Existence and Kummer stability for a system of nonlinear $\\phi$–Hilfer fractional differential equations with application<\/a>. Fractal Fract. 2021, 5, 200. https:\/\/doi.org\/10.3390\/fractalfract5040200<\/p>\n66. Chenkuan Li, Rekha Srivastava and Kyle Gardiner, Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based Upon the Multivariate Mittag-Leffler Function<\/a>. Mathematics 2021, 9, 2733. https:\/\/doi.org\/10.3390\/math9212733 <\/p>\n65. Chenkuan Li and Hari M. Srivastava, Uniqueness of solutions of the generalized Abel integral equations in Banach spaces <\/a>. Fractal Fract. 2021, 5, 105. https:\/\/doi.org\/10.3390\/fractalfract5030105<\/p>\n64. Chenkuan Li and Joshua Beaudin, On the nonlinear integro-differential equations<\/a>. Fractal Fract. 2021, 5, 82. https:\/\/doi.org\/10.3390\/fractalfract5030082<\/p>\n63. Chenkuan Li and Joshua Beaudin, Uniqueness of Abel\u2019s integral equations of the second kind with variable coefficients<\/a>. Symmetry 2021, 13, 1064. https:\/\/doi.org\/10.3390\/sym13061064 <\/p>\n62. Chenkuan Li, On the nonlinear Hadamard-type integro-differential equation<\/a>, Fixed Point Theory and Algorithms for Sciences and Engineering (2021) 2021:7<\/p>\n61. Chenkuan Li, Uniqueness of the Hadamard-type integral equations<\/a>, Advances in Di\ufb00erence Equations (2021) 2021:40<\/p>\n60. Chenkuan Li, An example of the generalized fractional Laplacian<\/a>, Contemporary Mathematics 1 (2020), 215-226. doi.org\/10.37256\/cm.142020489<\/p>\n59. Chenkuan Li and Joshua Beaudin, On the generalized Riesz derivative<\/a>, Mathematics 2020, 8, 1089; doi:10.3390\/math8071089<\/p>\n58. Chenkuan Li, The generalized Abel’s integral equations on R^n with variable coefficients<\/a>, Fractional Differential Calculus 10, (2020), 129-140.<\/p>\n57. Chenkuan Li and Jianfei Huang, Remarks on the linear fractional integro-differential equation with variable coefficients in distribution<\/a>, Fractional Differential Calculus 10, (2020), 57-77.<\/p>\n56. Chenkuan Li and Changpin Li, The Fractional Green’s Function by Babenko’s Approach<\/a>, Tbilisi Mathematical Journal 13 (2020), 19-42.<\/p>\n55. Chenkuan Li and Hunter Plowman, Solutions of the Generalized Abel\u2019s Integral Equations of the Second Kind with Variable Coefficients<\/a>, Axioms 2019, 8, 137; doi:10.3390\/axioms8040137<\/p>\n54. Chenkuan Li, Changpin Li, Thomas Humphries, and Hunter Plowman, Remarks on the generalized fractional Laplacian operator<\/a>, Mathematics 2019, 7, 320; doi:10.3390\/math7040320.<\/p>\n53. Chenkuan Li, Thomas Humphries, and Hunter Plowman, Solutions to Abel’s integral equations in distributions<\/a>, Axioms 2018, 7(3), 66; doi:10.3390\/axioms7030066.<\/p>\n52. Chenkuan Li, Changpin Li and Kyle Clarkson, Several Results of Fractional Differential and Integral Equations in Distribution<\/a>, Mathematics 2018, 6, 97; doi:10.3390\/math6060097<\/p>\n51. Chenkuan Li, The Convolution of Analytic Functionals<\/a>, The Journal of Analysis, 78 (2018); doi.org\/10.1007\/s41478-018-0078-5<\/p>\n50. Chenkuan Li and Kyle Clarkson, Babenko’s Approach to Abel’s Integral Equations<\/a>, Mathematics 2018, 6, 32; doi:10.3390\/math6030032<\/p>\n49. Chenkuan Li and Kyle Clarkson, Remarks On the Convolutions and Fractional
\nDerivative of Distributions<\/a>, Journal of Mathematics Research, 10 (2018), 6-19.<\/p>\n48. Chenkuan Li, Kyle Clarkson and Vrajna Patel, The Convolution and Fractional Derivative of Distributions<\/a>, Advances in Analysis 3 (2018), 82-99.<\/p>\n47. Chenkuan Li, The Product and Fractional Derivative of
\nAnalytic Functionals<\/a>, International Journal of Mathematical Analysis, 11 (2017), 955-972.<\/p>\n46. Chenkuan Li, Changpin Li, Bailey Kacsmar, Roque Lacroix and Kyle Tilbury, The Abel integral equations in distribution<\/a>, Advances in Analysis, 2 (2017), 88-104.<\/p>\n45. Chenkuan Li and Changpin Li, Remarks on fractional derivatives of distributions<\/a>, Tbilisi Mathematical Journal, 10 (2017), 1-18.<\/p>\n44. Chenkuan Li, The powers of the Dirac delta function by Caputo fractional derivatives<\/a>, Journal of Fractional Calculus and Applications (JFCA), 7 (2016), 12-23.<\/p>\n43. Chenkuan Li, Several results of fractional derivatives in D'(R_+)<\/a>, Fractional Calculus and Applied Analysis (FCAA), 18 (2015), 192-207.<\/p>\n42. Chenkuan Li and Changpin Li, On defining the distributions delta^k and delta’^k by fractional derivatives<\/a>, Appl. Math. Comput., 246 (2014), 502-513.<\/p>\n41. Chenkuan Li, \u00a0Asymptotic expressions of several distributions on the sphere<\/a>,\u00a0 BJMCS, \u00a03 (2013),\u00a0 73-85.<\/p>\n40. Chenkuan Li,\u00a0 Several asymptotic products of particular distributions<\/a>, \u00a0BJMCS, \u00a03 (2013), \u00a0291-303.<\/p>\n39. Chenkuan Li and Manuel Aguirre,\u00a0 The distributional products on spheres and Pizzetti’s formula<\/a>,\u00a0 J. Comput. Appl. Math., \u00a0235 (2011), \u00a01482-1489.<\/p>\n38. Chenkuan Li,\u00a0 An asymptotic product for $X^s \\delta^{(k)}(r^2 – t^2)$<\/a>,\u00a0\u00a0 IJPAM, 72 (2011), 65-80.<\/p>\n37. Chenkuan Li, Several products of distributions on manifolds<\/a>, NSJOM, 39 (2009), 31-46.<\/p>\n36. \u00a0Chenkuan Li, The Hankel convolution of arbitrary order<\/a>, IJPAM,\u00a0 55 (2009), 247-256.<\/p>\n35. Chenkuan Li, The products of distributions on manifolds and invariant theorem<\/a>, JAA, 6 (2008), 77-95.<\/p>\n34. Chenkuan Li, Thomas E. Hart, Kevin J. Henry and Ian A. Neufeld, Average-case messy broadcasting<\/a>, JOIN, 19 (2008), 487-505.<\/p>\n33. Chenkuan Li, Yang Zhang, Manuel Aguirre and Ricky Tang, The product of analytic functionals in Z’<\/a>, J. Korean Math. Soc., 45 (2008), 455-466.<\/p>\n32. Chenkuan Li, Several results on the commutative neutrix product of distributions<\/a>, Integral transforms Spec. Funct., 18 (2007), 559-568.<\/p>\n31. Chenkuan Li and Manuel Aguirre, The distributional products by the Laurent series<\/a>, Thai J. Math., 4 (2006), 305-319.<\/p>\n30. Chenkuan Li, The products on the unit sphere and even-dimension spaces<\/a>, J. Math. Anal. Appl. 305 (2005), 97 – 106.<\/p>\n29. Chenkuan Li, An approach for distributional products on R^m<\/a>, Integral Transforms Spec. Funct. 16 (2005), 139 – 151.<\/p>\n28. Chenkuan Li, A kernel theorem from the Hankel transform in Banach spaces<\/a>, Integral Transforms Spec. Funct. 16 (2005), 565-581.<\/p>\n27. Chenkuan Li and Vincent Zou, On defining the product $r^{-k}.\\nabla^l \\delta$<\/a>, IJMMS, 16 (2004), 833 – 845.<\/p>\n26.Chenkuan Li, On the Hankel transform, International Journal of Applied Mathematics, Volume 12, Number 4 (2003), 397 – 405.<\/p>\n
25. Chenkuan Li, The neutrix square of $\\delta$, International Journal of Applied Mathematics, Volume 12, Number 2 (2003), 115 – 124.<\/p>\n
24. Chenkuan Li, The sequential approach to the product of distributions<\/a>, IJMMS, 28 (2001), 743 – 751.<\/p>\n23. Brian Fisher and Chenkuan Li, On the Cosine and Sine Integrals, International Journal of Applied Mathematics, Volume 7, Number 4 (2001), 419 – 437.<\/p>\n
22. Chenkuan Li, A note on the product $r^{-k} . \\nabla(\\triangle r^{2-m})$<\/a>, Integral Transforms Spec. Funct. 12(2001), 341 – 348.<\/p>\n21. Chenkuan Li, The product of $r^{-k}$ and $\\nabla\\delta$ on R^m<\/a>, IJMMS, 24 (2000), 361 – 369.<\/p>\n20. Brian Fisher, Adem Kilicman and Chenkuan Li, An extension of a result on the non-commutative neutrix convolution product of distributions, International Journal of Applied Mathematics, Volume 3, Number 1 (2000), 71 – 80.<\/p>\n
19. Chenkuan Li and E. L. Koh, The neutrix convolution product in Z'(m) and the exchange formula<\/a>, IJMMS, 21 (1998), 695 – 700.<\/p>\n18. E. L. Koh and Chenkuan Li, The kernel theorem on the space [H x A; B]<\/a>, Proc. Amer. Math. Soc. 123 (1995), 177 – 182.<\/p>\n17. E. L. Koh and Chenkuan Li, The Hankel transformation on M’ and its Representation<\/a>, Proc. Amer. Math. Soc. 122 (1994), 1085 – 1094.<\/p>\n16. E. L. Koh and Chenkuan Li, On the inverse of the Hankel Transform, Integral Transforms and Special Functions, Volume 2, Number 4 (1994), 279 – 282.<\/p>\n
15. E. L. Koh and Chenkuan Li, The Hankel transformation of Banach-space-valued generalized functions<\/a>, Proc. Amer. Math. Soc. 119 (1993), 153 – 163.<\/p>\n14. Brian Fisher and Chenkuan Li, A commutative neutrix convolution product of distributions<\/a>, Review of Research, 23 (1993), 13 – 27.<\/p>\n13. E. L. Koh and Chenkuan Li, On defending the generalized functions $\\delta^{\\alpha}(z)$ and $\\delta^n(x)$<\/a>, IJMMS, 16 (1993), 749 – 754.<\/p>\n12. Linzhi Cheng and Chenkuan Li, The convolution of distributions<\/a>, Mathematica Applicata, Volume 5, Number 4 (1992), 103 – 105.<\/p>\n11. E. L. Koh and Chenkuan Li, On the distributions $(\\delta’^k$ and $(\\delta”)^k$<\/a>, Math. Nachr. 157 (1992), 243 – 248.<\/p>\n10. Brian Fisher, Emin Ozcag and Chenkuan Li, A commutative neutrix convolution of distributions and exchange formula<\/a>, Archivum Mathematicum (BRNO) Tomus 28 (1992),
\n187 – 197.<\/p>\n9. Linzhi Cheng and Chenkuan Li, A commutative neutrix product of distributions on R^m<\/a>, Math. Nachr. 151 (1991), 345 – 355.<\/p>\n8. Brian Fisher and Chenkuan Li, On defending a non-commutative product of distributions in m variables, J. of Natural Sciences and Math. Volume 31, Number 2 (1991), 95 – 102.<\/p>\n
7. Brian Fisher and Chenkuan Li, A non-commutative neutrix product of distributions on R^m<\/a>, Review of Research, 21 (1991), 135 – 146.<\/p>\n6. Chenkuan Li and Brian Fisher, Examples of neutrix product of distributions on Rm,
\nRad. Math. Volume 6, Number 1 (1990), 129 – 137.<\/p>\n
5. Chenkuan Li and Brian Fisher, A product of distributions on a sphere, J. of Jiangsu Agricultural Institute (China), Volume 11, Number 2 (1990), 77 – 79.<\/p>\n
4. Brian Fisher and Chenkuan Li, On the product of distributions in m variables, J. of Jiangsu Agricultural Institute, Volume 11, Number 4 (1990), 1 – 10.<\/p>\n
3. Chenkuan Li, Power of Dirac distributions<\/a>, J. Math. Res. Exposition, 8 (1988), 635 – 636.<\/p>\n2. Linzhi Cheng and Chenkuan Li, The product of generalized functions<\/a>, J. Math. Res. Exposition, 8 (1988), 543 – 546.<\/p>\n1. Brian Fisher, Chenkuan Li and Arpad Takaci, The Fourier transform of distributions and exchange formulas, Mat. Vesink, Volume 40, Number 3 – 4 (1988), 209 – 216.<\/p>\n
Refereed Conference Publications<\/h2>\n
<\/a>J.F. Colombeau and Chenkuan Li at a conference in Vienna.<\/p><\/div>\n
Algorithm analysis and data networking.<\/p>\n
Current studies of messy broadcasting have so far concentrated on finding worst-case times. However, such worst-case scenarios are extremely unlikely to occur in general. Hence, finding average-case times for completing messy broadcasting in various network topologies is both necessary and meaningful in practice. The area of my research is focused on seeking the average messy broadcast times of networks such as hypercubes, d-ary trees and complete graphs using randomized algorithms and probability theory. Furthermore, the approach I introduced for average-case time complexity can also be used to simplify the proofs of existing results of worst-case situations.<\/p>\n
Teaching Experience:<\/h2>\n
I have worked at the University of Regina<\/a>, University of Lethbridge<\/a>, University New Brunswick<\/a>, Cape Breton University<\/a>, University of Alberta (Augustana)<\/a><\/p>\n Giving a public lecture at the Universidad Nacional del Centro while working with before joining Brandon University in the summer of 2002, and have taught a wide range of courses from Mathematics to Computer Science. Here are the courses I have done in Brandon:<\/p>\n 10. Mohammad Saeid Abolhassanifar, Reza Saadati, Mohammad Bagher Ghaemi and Chenkuan Li, Blow-up and core transition for mass-constrained nonlinear Schr\u00f6dinger equations with combined nonlinearities.<\/p>\n 9. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability Analysis of Nonlinear Fractional-Order Volterra Integro-Differential Equations with N Time Delays.<\/p>\n 8. Chenkuan Li, On the Uniqueness of Solutions to a Nonlinear Fractional Pantograph-Type Equation with a Functional Initial Condition.<\/p>\n 7. Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi and Chenkuan Li, A novel analytical framework for fractional PDEs via $\\Psi$-Hilfer derivatives and Barbashin-type structures. <\/p>\n 6. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability Analysis of the Hadamard Fractional-Order Systems with Time Delays. <\/p>\n 5. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Analyzing Tempered $ \\mathfrak{P}$-Hilfer-Hadamard Hybrid Implicit Boundary Value Problem via a class of $ \\mathfrak{P}$-Mittag-Leffler-type functions. <\/p>\n 4. Laith Hawawsheh, Chenkuan Li, and Reza Saadati, The maximal operator over the unit sphere in $R^n$. <\/p>\n 3. Chenkuan Li, Ehsan Pourhadi and Ying Ying Ou, The Nonlinear Bagley\u2013Torvik Equation with Functional Boundary Conditions. <\/p>\n 2. Chenkuan Li, Ehsan Pourhadi and Alison Gray, A Generalized Nonlinear Bagley\u2013Torvik Equation in Distributions.<\/p>\n 1. Ehsan Pourhadi and Chenkuan Li, A Perov-type framework for existence, uniqueness, and Ulam\u2013Hyers stability of nonlinear fractional partial differential equations.<\/p>\n<\/ul>\n 1. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li and Tofigh Allahviranloo, Towards Ulam Type Multi Stability Analysis<\/a> by Springer (July 2024), 571 pages.<\/p>\n 2. Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Chenkuan Li and Javad Vahidi, Optimal stability theory and approximate solutions of fractional systems<\/a> by Springer (October 2025), 383 pages.<\/p>\n<\/ul>\n 1. Chenkuan Li, Remarks on Nonlinear Fractional Differential Equation<\/a> (Chapter 11) in the book “Advances in Computational Methods and Modeling for Science and Engineering<\/a>” 1st Edition – February, 123–155 (2025) by Elsevier. <\/p>\n 2. Chenkuan Li, A review on the products of distributions<\/a>, Mathematical Methods in Engineering, Springer (2007), 71 – 96.<\/p>\n<\/ul>\n 112. Chenkuan Li, Wenyuan Liao and Ying-Ying Ou, Existence, Uniqueness, and Hyers\u2013Ulam’s Stability of the Nonlinear Bagley\u2013Torvik Equation with Functional Initial Conditions.<\/a> Mathematics 2026, 14, 286. pp 1–19. <\/p>\n 111. Chenkuan Li and Ehsan Pourhadi, Theoretical analysis on the nonlinear fractional differential equations and generalized heat equation.<\/a> Filomat 39 (2025), 7403-7425.<\/p>\n 110. Chenkuan Li and Wenyuan Liao, Applications of inverse operators to a fractional partial integro-differential equation and several well-known differential equations.<\/a> Fractal Fract. 2025, 9, 200. pp 1–39.<\/p>\n 109. Chenkuan Li, Studies on fractional differential equations with functional boundary condition by inverse operators.<\/a> Mathematical Methods in the Applied Sciences, 2025; 48:11161\u201311170.<\/p>\n 108. Chenkuan Li, The time-fractional wave equation with variable coefficients.<\/a> Mathematics 2025, 13, 2369.<\/p>\n 107. Chenkuan Li, Nate Fingas and Ying Ying Ou, Remarks on a new variable-coefficient integro-differential equation via inverse operators.<\/a> Fractal Fract. 2025, 9, 404.<\/p>\n 106. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, and Donal O\u2019Regan, Enhancing stability in fractional-order systems: criteria and applications.<\/a> Fractal Fract. 2025, 9, 345.<\/p>\n 105. Chenkuan Li, Reza Saadati, Safoura Rezaei Aderyani and Min-Jie Luo, On the generalized fractional convection-diffusion equation with initial condition in $\\mathbb R^n$.<\/a> Fractal Fract. 2025, 9, 347.<\/p>\n 104. Ehsan Pourhadi and Chenkuan Li, A uniqueness criterion for McKean\u2013Vlasov fractional stochastic differential equations in $L_p$<\/a>. Chaos, Solitons and Fractals 200 (2025) 117153. <\/p>\n 103. Chenkuan Li, A fixed-point approach to the existence of a fractional nonlinear integro-differential equation with variable coefficients and functional boundary condition<\/a>. Journal of Integral Equations and Applications Volume 37 (2025), No. 4, 437\u2013449.<\/p>\n 102. Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Exploring stability in the Hilfer-Hadamard fractional order systems: insights from numerical analysis and simulations<\/a>. Journal of Applied Mathematics and Computing. Published Online: June 24 (2025). https:\/\/doi.org\/10.1007\/s12190-025-02547-4<\/p>\n 101. Walid Remilia, Azedine Rahmounea and Chenkuan Li, Numerical Solutions of Weakly Singular Nonlinear Volterra Integral Equations with Smooth and Non-Smooth Solutions over Large Time Intervals.<\/a> Mathematical Methods in the Applied Sciences. (2025), 1\u201315<\/p>\n 100. Chenkuan Li, Wenyuan Liao and Reza Saadati, An inverse operator approach to a fractional nonlinear integro-differential equation.<\/a> Analysis in Theory and Applications. 41 (2025), 172–196. <\/p>\n 99. Chenkuan Li, Existence for a nonlinear integro-differential equation with the Hilfer fractional derivative.<\/a> Journal of Integral Equations and Applications. 37 (2025), 91-99. <\/p>\n 98. Chenkuan Li, On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators<\/a>. Fract. Calc. Appl. Anal. 28 (2025), 386–410.<\/p>\n 97. Chenkuan Li, Uniqueness and Hyers-Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition.<\/a> Canad. J. Math. Vol. 77 (4), 2025 pp. 1377\u20131397.<\/p>\n 96. Chenkuan Li, Reza Saadati and Tofigh Allahviranloo, Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients.<\/a> Math. Meth. Appl. Sci. 48 (2025), 7226–7237.<\/p>\n 95. Chenkuan Li, Reza Saadati, Joshua Beaudin, Elisha Tariq and McKayla Brading, Some results on a nonlinear fractional equation with nonlocal boundary condition.<\/a> Math. Meth. Appl. Sci. 47 (2024), 13581–13600.<\/p>\n 94. Chenkuan Li, Reza Saadati, Fatemeh Mottaghi and Mohammad Bagher Ghaemi, Existence of solutions for the nonlinear integro-differential system.<\/a> Math Sci 18 (2024), 1-8. 93. Zahra Eidinejad, Reza Saadati, Javad Vahidi, Chenkuan Li and Tofigh Allahviranloo, The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions.<\/a> Boundary Value Problems (2024) 2024:120 92. Walid Remilia, Azedine Rahmounea and Chenkuan Li, Galerkin spectral method for linear second-kind Volterra integral equations with weakly singular kernels on large intervals.<\/a> Math. Meth. Appl. Sci. (47) 2024, 2329-2344. <\/p>\n 91. Joshua Beaudin and Chenkuan Li, Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in R^n.<\/a> J. Math. Computer Sci. 33 (2024), 420-430.<\/p>\n 90. Zahra Eidinejad, Reza Saadati, Chenkuan Li, Mustafa Inc, and Javad Vahidi, The multiple exp-function method to obtain soliton solutions of the conformable Date\u2013Jimbo\u2013Kashiwara\u2013Miwa equations.<\/a> International Journal of Modern Physics B 38 (2024) 2450043 (15 pages)<\/p>\n 89. Chenkuan Li, Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients<\/a>. Boundary Value Problems (2023) 2023:26 <\/p>\n 88. Chenkuan Li, Reza Saadati, Donal O’Regan, Radko Mesiar and Andrii Hrytsenko, A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions.<\/a> Math. Meth. Appl. Sci. 46 (2023), 17010–17019.<\/p>\n 87. Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko, On the uniqueness of bounded solution for the fractional nonlinear partial integro-differential equation with approximations.<\/a> Mathematics 2023, 11, 2752. https:\/\/doi.org\/10.3390\/math11122752<\/p>\n 86. Chenkuan Li, Kamsing Nonlaopon, Andrii Hrytsenko and Joshua Beaudin, On the analytic and approximate solutions for the fractional nonlinear Schrodinger equations<\/a>. Journal of Nonlinear Sciences and Applications 16 (2023), 51\u201359. <\/p>\n 85. Chenkuan Li, Reza Saadati and Zahra Eidinejad, Fixed point results for the fractional nonlinear problem with integral boundary condition.<\/a> Mediterr. J. Math. (2023) 20:298 https:\/\/doi.org\/10.1007\/s00009-023-02498-9 <\/p>\n 84. Chenkuan Li, Joshua Beaudin, Azedine Rahmounea and Walid Remilia, A matrix Mittag-Leffler function and the fractional nonlinear partial integro-differential equation in $R^n$.<\/a> Fractal Fract. 2023, 7, 651. https:\/\/doi.org\/10.3390\/fractalfract7090651<\/p>\n 83. Waritsara Thongthai, Kamsing Nonlaopon, Somsak Orankitjaroen, Chenkuan Li, Generalized solutions of ordinary differential equations related to the Chebyshev polynomial of the second kind.<\/a> Mathematics 2023, 11, 1725. https:\/\/doi.org\/10.3390\/math11071725<\/p>\n 82. Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, Themistocles M. Rassias and Choonkil Park, Special functions and multi-stability of the Jensen type random operator equation in C*-algebras via fixed point<\/a>. Journal of Inequalities and Applications (2023) 2023:35 https:\/\/doi.org\/10.1186\/s13660-023-02942-0<\/p>\n 81. Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo and Chenkuan Li, A novel stability study on volterra integral equations with delay (VIE-D) using the fuzzy minimum optimal controller in matrix-valued fuzzy Banach spaces.<\/a> Computational and Applied Mathematics (2023) 42:215 https:\/\/doi.org\/10.1007\/s40314-023-02362-2<\/p>\n 80. Mohammad Bagher Ghaemi, Fatemeh Mottaghi, Chenkuan Li and Reza Saadati, Existence and regularity results for a system of \u039b- Hilfer fractional differential equations by the generalized Lax-Milgram theorem.<\/a> Indian J Pure Appl Math (2023) 79. Zahra Eidinejad, Reza Saadati, Javad Vahidi and Chenkuan Li, Numerical solutions of 2D stochastic time-fractional Sine\u2013Gordon equation in the Caputo sense<\/a>. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 36 (2023);e3121. https:\/\/doi.org\/10.1002\/jnm.3121 <\/p>\n 78. Safoura Rezaei Aderyani, Reza Saadati, Donal O\u2019Regan and Chenkuan Li, On a new approach for stability and controllability analysis of functional equations.<\/a> Mathematics 2023, 11, 3458. https:\/\/doi.org\/10.3390\/math11163458<\/p>\n 77. Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko, Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler.<\/a> Boundary Value Problems (2023) 2023:96 <\/p>\n 76. Donal O\u2019Regan, Safoura Rezaei Aderyani, Reza Saadati and Chenkuan Li, Stability results and parametric delayed Mittag\u2013Leffler matrices in symmetric fuzzy\u2013random spaces with application.<\/a> Symmetry 2023, 15, 1880. https:\/\/doi.org\/10.3390\/sym15101880 <\/p>\n 75. Chenkuan Li, Reza Saadati, Rekha Srivastava and Joshua Beaudin, On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations<\/a>. Mathematics 2022, 10, 1971. https:\/\/doi.org\/10.3390\/math10121971<\/p>\n 74. Radko Mesiar, Chenkuan Li, Abbas Ghaffari and Reza Saadati, Fuzzy Caratheodory\u2019s Theorem and Outer *-Fuzzy Measure<\/a>. Axioms 2022, 11, 240. https:\/\/doi.org\/10.3390\/axioms11050240 <\/p>\n 73. Zahra Eidinejad, Reza Saadati and Chenkuan Li, Laplace inverse and MR approach to existence of a unique solution and the Hyers\u2013Ulam\u2013Wright stability analysis of the nonhomogeneous fractional delay oscillation equation by matrix-valued fuzzy controllers.<\/a> Journal of Inequalities and Applications (2022) 2022:129 72. Donal O’Regan, Reza Saadati, Chenkuan Li and Fahd Jarad, The Hausdorff-Pompeiu distance in Gn-Menger fractal spaces<\/a>. Mathematics 2022, 10, 2958. https:\/\/doi.org\/10.3390\/math10162958 <\/p>\n 71. Hari Srivastava, Reza Chaharpashlou, Reza Saadati and Chenkuan Li, A fuzzy random boundary value problem<\/a>. Axioms 2022, 11, 414. https:\/\/doi.org\/10.3390\/axioms11080414<\/p>\n 70. Zahra Eidinejad, Reza Saadati, Radko Mesiar and Chenkuan Li, New stability results of an ABC fractional differential equation in the symmetric matrix-valued FBS.<\/a> Symmetry 2022, 14, 2667. https:\/\/doi.org\/10.3390\/sym14122667<\/p>\n 69. Chenkuan Li, Uniqueness of the partial integro-differential equations<\/a>. Journal of Integral Equations and Applications Volume 33 (2021), No. 4, 463\u2013475.<\/p>\n 69. Chenkuan Li, On the generalized fractional Laplacian<\/a>. Fract. Calc. Appl. Anal., Vol. 24, No 6 (2021), pp. 1797\u20131830, DOI: 10.1515\/fca-2021-0078 <\/p>\n 67. Fatemeh Mottaghi, Chenkuan Li, Thabet Abdeljawad, Reza Saadati and Mohammad Bagher Ghaemi, Existence and Kummer stability for a system of nonlinear $\\phi$–Hilfer fractional differential equations with application<\/a>. Fractal Fract. 2021, 5, 200. https:\/\/doi.org\/10.3390\/fractalfract5040200<\/p>\n 66. Chenkuan Li, Rekha Srivastava and Kyle Gardiner, Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based Upon the Multivariate Mittag-Leffler Function<\/a>. Mathematics 2021, 9, 2733. https:\/\/doi.org\/10.3390\/math9212733 <\/p>\n 65. Chenkuan Li and Hari M. Srivastava, Uniqueness of solutions of the generalized Abel integral equations in Banach spaces <\/a>. Fractal Fract. 2021, 5, 105. https:\/\/doi.org\/10.3390\/fractalfract5030105<\/p>\n 64. Chenkuan Li and Joshua Beaudin, On the nonlinear integro-differential equations<\/a>. Fractal Fract. 2021, 5, 82. https:\/\/doi.org\/10.3390\/fractalfract5030082<\/p>\n 63. Chenkuan Li and Joshua Beaudin, Uniqueness of Abel\u2019s integral equations of the second kind with variable coefficients<\/a>. Symmetry 2021, 13, 1064. https:\/\/doi.org\/10.3390\/sym13061064 <\/p>\n 62. Chenkuan Li, On the nonlinear Hadamard-type integro-differential equation<\/a>, Fixed Point Theory and Algorithms for Sciences and Engineering (2021) 2021:7<\/p>\n 61. Chenkuan Li, Uniqueness of the Hadamard-type integral equations<\/a>, Advances in Di\ufb00erence Equations (2021) 2021:40<\/p>\n 60. Chenkuan Li, An example of the generalized fractional Laplacian<\/a>, Contemporary Mathematics 1 (2020), 215-226. doi.org\/10.37256\/cm.142020489<\/p>\n 59. Chenkuan Li and Joshua Beaudin, On the generalized Riesz derivative<\/a>, Mathematics 2020, 8, 1089; doi:10.3390\/math8071089<\/p>\n 58. Chenkuan Li, The generalized Abel’s integral equations on R^n with variable coefficients<\/a>, Fractional Differential Calculus 10, (2020), 129-140.<\/p>\n 57. Chenkuan Li and Jianfei Huang, Remarks on the linear fractional integro-differential equation with variable coefficients in distribution<\/a>, Fractional Differential Calculus 10, (2020), 57-77.<\/p>\n 56. Chenkuan Li and Changpin Li, The Fractional Green’s Function by Babenko’s Approach<\/a>, Tbilisi Mathematical Journal 13 (2020), 19-42.<\/p>\n 55. Chenkuan Li and Hunter Plowman, Solutions of the Generalized Abel\u2019s Integral Equations of the Second Kind with Variable Coefficients<\/a>, Axioms 2019, 8, 137; doi:10.3390\/axioms8040137<\/p>\n 54. Chenkuan Li, Changpin Li, Thomas Humphries, and Hunter Plowman, Remarks on the generalized fractional Laplacian operator<\/a>, Mathematics 2019, 7, 320; doi:10.3390\/math7040320.<\/p>\n 53. Chenkuan Li, Thomas Humphries, and Hunter Plowman, Solutions to Abel’s integral equations in distributions<\/a>, Axioms 2018, 7(3), 66; doi:10.3390\/axioms7030066.<\/p>\n 52. Chenkuan Li, Changpin Li and Kyle Clarkson, Several Results of Fractional Differential and Integral Equations in Distribution<\/a>, Mathematics 2018, 6, 97; doi:10.3390\/math6060097<\/p>\n 51. Chenkuan Li, The Convolution of Analytic Functionals<\/a>, The Journal of Analysis, 78 (2018); doi.org\/10.1007\/s41478-018-0078-5<\/p>\n 50. Chenkuan Li and Kyle Clarkson, Babenko’s Approach to Abel’s Integral Equations<\/a>, Mathematics 2018, 6, 32; doi:10.3390\/math6030032<\/p>\n 49. Chenkuan Li and Kyle Clarkson, Remarks On the Convolutions and Fractional 48. Chenkuan Li, Kyle Clarkson and Vrajna Patel, The Convolution and Fractional Derivative of Distributions<\/a>, Advances in Analysis 3 (2018), 82-99.<\/p>\n 47. Chenkuan Li, The Product and Fractional Derivative of 46. Chenkuan Li, Changpin Li, Bailey Kacsmar, Roque Lacroix and Kyle Tilbury, The Abel integral equations in distribution<\/a>, Advances in Analysis, 2 (2017), 88-104.<\/p>\n 45. Chenkuan Li and Changpin Li, Remarks on fractional derivatives of distributions<\/a>, Tbilisi Mathematical Journal, 10 (2017), 1-18.<\/p>\n 44. Chenkuan Li, The powers of the Dirac delta function by Caputo fractional derivatives<\/a>, Journal of Fractional Calculus and Applications (JFCA), 7 (2016), 12-23.<\/p>\n 43. Chenkuan Li, Several results of fractional derivatives in D'(R_+)<\/a>, Fractional Calculus and Applied Analysis (FCAA), 18 (2015), 192-207.<\/p>\n 42. Chenkuan Li and Changpin Li, On defining the distributions delta^k and delta’^k by fractional derivatives<\/a>, Appl. Math. Comput., 246 (2014), 502-513.<\/p>\n 41. Chenkuan Li, \u00a0Asymptotic expressions of several distributions on the sphere<\/a>,\u00a0 BJMCS, \u00a03 (2013),\u00a0 73-85.<\/p>\n 40. Chenkuan Li,\u00a0 Several asymptotic products of particular distributions<\/a>, \u00a0BJMCS, \u00a03 (2013), \u00a0291-303.<\/p>\n 39. Chenkuan Li and Manuel Aguirre,\u00a0 The distributional products on spheres and Pizzetti’s formula<\/a>,\u00a0 J. Comput. Appl. Math., \u00a0235 (2011), \u00a01482-1489.<\/p>\n 38. Chenkuan Li,\u00a0 An asymptotic product for $X^s \\delta^{(k)}(r^2 – t^2)$<\/a>,\u00a0\u00a0 IJPAM, 72 (2011), 65-80.<\/p>\n 37. Chenkuan Li, Several products of distributions on manifolds<\/a>, NSJOM, 39 (2009), 31-46.<\/p>\n 36. \u00a0Chenkuan Li, The Hankel convolution of arbitrary order<\/a>, IJPAM,\u00a0 55 (2009), 247-256.<\/p>\n 35. Chenkuan Li, The products of distributions on manifolds and invariant theorem<\/a>, JAA, 6 (2008), 77-95.<\/p>\n 34. Chenkuan Li, Thomas E. Hart, Kevin J. Henry and Ian A. Neufeld, Average-case messy broadcasting<\/a>, JOIN, 19 (2008), 487-505.<\/p>\n 33. Chenkuan Li, Yang Zhang, Manuel Aguirre and Ricky Tang, The product of analytic functionals in Z’<\/a>, J. Korean Math. Soc., 45 (2008), 455-466.<\/p>\n 32. Chenkuan Li, Several results on the commutative neutrix product of distributions<\/a>, Integral transforms Spec. Funct., 18 (2007), 559-568.<\/p>\n 31. Chenkuan Li and Manuel Aguirre, The distributional products by the Laurent series<\/a>, Thai J. Math., 4 (2006), 305-319.<\/p>\n 30. Chenkuan Li, The products on the unit sphere and even-dimension spaces<\/a>, J. Math. Anal. Appl. 305 (2005), 97 – 106.<\/p>\n 29. Chenkuan Li, An approach for distributional products on R^m<\/a>, Integral Transforms Spec. Funct. 16 (2005), 139 – 151.<\/p>\n 28. Chenkuan Li, A kernel theorem from the Hankel transform in Banach spaces<\/a>, Integral Transforms Spec. Funct. 16 (2005), 565-581.<\/p>\n 27. Chenkuan Li and Vincent Zou, On defining the product $r^{-k}.\\nabla^l \\delta$<\/a>, IJMMS, 16 (2004), 833 – 845.<\/p>\n 26.Chenkuan Li, On the Hankel transform, International Journal of Applied Mathematics, Volume 12, Number 4 (2003), 397 – 405.<\/p>\n 25. Chenkuan Li, The neutrix square of $\\delta$, International Journal of Applied Mathematics, Volume 12, Number 2 (2003), 115 – 124.<\/p>\n 24. Chenkuan Li, The sequential approach to the product of distributions<\/a>, IJMMS, 28 (2001), 743 – 751.<\/p>\n 23. Brian Fisher and Chenkuan Li, On the Cosine and Sine Integrals, International Journal of Applied Mathematics, Volume 7, Number 4 (2001), 419 – 437.<\/p>\n 22. Chenkuan Li, A note on the product $r^{-k} . \\nabla(\\triangle r^{2-m})$<\/a>, Integral Transforms Spec. Funct. 12(2001), 341 – 348.<\/p>\n 21. Chenkuan Li, The product of $r^{-k}$ and $\\nabla\\delta$ on R^m<\/a>, IJMMS, 24 (2000), 361 – 369.<\/p>\n 20. Brian Fisher, Adem Kilicman and Chenkuan Li, An extension of a result on the non-commutative neutrix convolution product of distributions, International Journal of Applied Mathematics, Volume 3, Number 1 (2000), 71 – 80.<\/p>\n 19. Chenkuan Li and E. L. Koh, The neutrix convolution product in Z'(m) and the exchange formula<\/a>, IJMMS, 21 (1998), 695 – 700.<\/p>\n 18. E. L. Koh and Chenkuan Li, The kernel theorem on the space [H x A; B]<\/a>, Proc. Amer. Math. Soc. 123 (1995), 177 – 182.<\/p>\n 17. E. L. Koh and Chenkuan Li, The Hankel transformation on M’ and its Representation<\/a>, Proc. Amer. Math. Soc. 122 (1994), 1085 – 1094.<\/p>\n 16. E. L. Koh and Chenkuan Li, On the inverse of the Hankel Transform, Integral Transforms and Special Functions, Volume 2, Number 4 (1994), 279 – 282.<\/p>\n 15. E. L. Koh and Chenkuan Li, The Hankel transformation of Banach-space-valued generalized functions<\/a>, Proc. Amer. Math. Soc. 119 (1993), 153 – 163.<\/p>\n 14. Brian Fisher and Chenkuan Li, A commutative neutrix convolution product of distributions<\/a>, Review of Research, 23 (1993), 13 – 27.<\/p>\n 13. E. L. Koh and Chenkuan Li, On defending the generalized functions $\\delta^{\\alpha}(z)$ and $\\delta^n(x)$<\/a>, IJMMS, 16 (1993), 749 – 754.<\/p>\n 12. Linzhi Cheng and Chenkuan Li, The convolution of distributions<\/a>, Mathematica Applicata, Volume 5, Number 4 (1992), 103 – 105.<\/p>\n 11. E. L. Koh and Chenkuan Li, On the distributions $(\\delta’^k$ and $(\\delta”)^k$<\/a>, Math. Nachr. 157 (1992), 243 – 248.<\/p>\n 10. Brian Fisher, Emin Ozcag and Chenkuan Li, A commutative neutrix convolution of distributions and exchange formula<\/a>, Archivum Mathematicum (BRNO) Tomus 28 (1992), 9. Linzhi Cheng and Chenkuan Li, A commutative neutrix product of distributions on R^m<\/a>, Math. Nachr. 151 (1991), 345 – 355.<\/p>\n 8. Brian Fisher and Chenkuan Li, On defending a non-commutative product of distributions in m variables, J. of Natural Sciences and Math. Volume 31, Number 2 (1991), 95 – 102.<\/p>\n 7. Brian Fisher and Chenkuan Li, A non-commutative neutrix product of distributions on R^m<\/a>, Review of Research, 21 (1991), 135 – 146.<\/p>\n 6. Chenkuan Li and Brian Fisher, Examples of neutrix product of distributions on Rm, 5. Chenkuan Li and Brian Fisher, A product of distributions on a sphere, J. of Jiangsu Agricultural Institute (China), Volume 11, Number 2 (1990), 77 – 79.<\/p>\n 4. Brian Fisher and Chenkuan Li, On the product of distributions in m variables, J. of Jiangsu Agricultural Institute, Volume 11, Number 4 (1990), 1 – 10.<\/p>\n 3. Chenkuan Li, Power of Dirac distributions<\/a>, J. Math. Res. Exposition, 8 (1988), 635 – 636.<\/p>\n 2. Linzhi Cheng and Chenkuan Li, The product of generalized functions<\/a>, J. Math. Res. Exposition, 8 (1988), 543 – 546.<\/p>\n 1. Brian Fisher, Chenkuan Li and Arpad Takaci, The Fourier transform of distributions and exchange formulas, Mat. Vesink, Volume 40, Number 3 – 4 (1988), 209 – 216.<\/p>\n<\/a>
Dr. M. Aguirre in Argentina.<\/p><\/div>\n\n
Recent Awards<\/h2>\n
\n An NSERC discovery grant from 2019 to 2025
\n The Brandon University Senate Award for Excellence in Teaching 2016
\n The Brandon University Senate Award for Excellence in Research 2015<\/p>\n<\/ul>\nSubmissions<\/h2>\n
Book Publications<\/h2>\n
Chapter Publications<\/h2>\n
Peer Reviewed Journals<\/h2>\n
\nhttps:\/\/doi.org\/10.1007\/s40096-022-00479-9<\/p>\n
\nhttps:\/\/doi.org\/10.1186\/s13661-024-01928-1<\/p>\n
\nhttps:\/\/doi.org\/10.1007\/s13226-023-00415-0<\/p>\n
\nhttps:\/\/doi.org\/10.1186\/s13660-022-02869-y<\/p>\n
\nDerivative of Distributions<\/a>, Journal of Mathematics Research, 10 (2018), 6-19.<\/p>\n
\nAnalytic Functionals<\/a>, International Journal of Mathematical Analysis, 11 (2017), 955-972.<\/p>\n
\n187 – 197.<\/p>\n
\nRad. Math. Volume 6, Number 1 (1990), 129 – 137.<\/p>\nRefereed Conference Publications<\/h2>\n