M. Jahanshahi - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, ‎Iran.
H. Kazemi demneh - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, ‎Iran.

‎In this paper‎, ‎a class of nonlinear fractional partial differential equation is considerd and solved by advanced analytical-numerical methods such as homotopy analytical and Adomian decomposition Methods and Mittag-Leffler functions‎. ‎The obtained approximate solutions show that these solutions are same for the first three approximate terms u_{۱}‎, ‎u_{۲}‎, ‎u_{۳}.