Hassan Kamil Jassim - Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar Nasiriyah, Iraq
Habeeb Kadmim - Department of Mathematics, Faculty of Computer Science and Mathematics , University of Thi-Qar, Nasiriyah, Iraq

. In this paper, the fractional Sumudu decomposition method (FSDM) is employed to handle the time-fractional PDEs and system of time-fractional PDEs. The fractional derivative is described in the Caputo sense. The approximate solutions are obtained by using FSDM, which is the coupling method of fractional decomposition method and Sumudu transform. The method, in general, is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the proposed technique.

Fokker Plank equation, Nonlinear gas dynamic equation, Sumudu transform, Adomian decomposition method