Yulong Li

• Ph.D., Mathematics, University of Wyoming, 2019
• M.S., Mathematical Physics, Capital Normal University, 2015
• B.A., Mathematics and Applied Mathematics, Jilin Normal University, 2012

Dr. Yulong Li studied mathematics and applied mathematics as an undergraduate at the Jilin Normal University. He obtained his master’s degree in mathematical physics from the Capital Normal University and earned his Ph.D. degree in mathematics from the University of Wyoming. Before he joined the University of Dayton, he was a research fellow at Singapore University of Technology and Design. He then spent another three years as a postdoctoral scholar at the University of Nevada, Reno. He has an abroad interest in mathematics and enjoys teaching and collaborating with people with diverse cultural backgrounds.

• Fractional Calculus
• Fractional differential equations
• Fractional Sobolev Spaces
• Singular integral equations
• Special functions

P. W. Eloe and Y. Li, On the first root of two-parametric Mittag-Leffler functions: A functional perspective, Integral Transforms and Special Functions (2025), 1–31.

Y. Li, E. Çelik, and A. S. Telyakovskiy, Analysis of a class of completely non-local elliptic diffusion operators, Fractional Calculus and Applied Analysis, 27 (2024), no. 2, 519–553.

Y. Li, On the regularity and simplicity of a class of fractional elliptic operators, Communications on Pure and Applied Analysis. 2023, 22(2): 459- 479.

Y. Li, Raising the regularity of generalized Abel equations in fractional Sobolev spaces with homogeneous boundary conditions, Journal of Integral Equations and Applications, 33, no. 3 (2021), 327–348.

Y. Li, A note on generalized Abel equations with constant coefficients, Rocky Mountain Journal of Mathematics, 51, no. 5 (2021), 1749–1760.

Y. Li, On the decomposition of solutions: from fractional diffusion to fractional Laplacian, Fractional Calculus and Applied Analysis 24, no. 5 (2021), 1571–1600.

Y. Li and V. Ginting, On Dirichlet BVP of fractional diffusion advection reaction equation in bounded interval: structure of solution, integral equation and approximation, Journal of Computational and Applied Mathematics, 2023, 246, Paper No. 115097.

Y. Li, A. S. Telyakovskiy and E. C¸ elik, Analysis of one-sided 1-D fractional diffusion operators, Communications on Pure and Applied Analysis, 21, no. 5 (2022), 1673–1690.

Y. Li, Integral representation bound of the true solution to the BVP of double-sided fractional diffusion advection reaction equation, Rendiconti del Circolo Matematico di Palermo (2), 71, no. 1 (2022), 407-428.

V. Ginting and Y. Li, On the fractional diffusion-advection-reaction equation in R, Fractional Calculus and Applied Analysis, 22, no. 4 (2019), 1039–1062.