Contrast of Homotopy and Adomian Decomposition Methods with Mittage-Leffler ‎F‎unction for Solving Some Nonlinear Fractional Partial Differential ‎Equations‎

‎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}.