Directory
Yulong Li
Assistant Professor
Full-Time Faculty
College of Arts and Sciences: Mathematics
Degrees
- 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
Profile
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.
Research interests
- Fractional Calculus
- Fractional differential equations
- Fractional Sobolev Spaces
- Singular integral equations
Selected publications
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 Calculous and Applied Analysis, 22, no. 4 (2019), 1039–1062.