%0 Journal Article %T Green Function of Generalized Time Fractional Diffusion Equation Using Addition Formula of Mittag-Leffler Function %A Fang Wang %A Jinmeng Zhang %J Journal of Applied Mathematics and Physics %P 2720-2732 %@ 2327-4379 %D 2022 %I Scientific Research Publishing %R 10.4236/jamp.2022.109182 %X 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. %K Mittag-Leffler Function %K Mellin Transforms %K Generalized Time Fractional Diffusion Equation %K Green Function %K Addition Formula %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=119999