Author(s)

Fang Wang^*, Jinmeng Zhang

School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, China.

In this paper, we use the Mittag-Leffler addition formula to solve the Green function of generalized time fractional diffusion equation in the whole plane and prove the convergence of the Green function.

Mittag-Leffler Function, Mellin Transforms, Generalized Time Fractional Diffusion Equation, Green Function, Addition Formula

Wang, F. and Zhang, J. (2022) Green Function of Generalized Time Fractional Diffusion Equation Using Addition Formula of Mittag-Leffler Function. Journal of Applied Mathematics and Physics, 10, 2720-2732. doi: 10.4236/jamp.2022.109182.