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

Subject Areas : International Journal of Industrial Mathematics

M. Jahanshahi ^{1 *} , H. Kazemi demneh ²

1 - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
2 - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

Received: 2017-12-17 Accepted : 2018-06-27 Published : 2020-05-01

Keywords: Homotopy Analytical Method, Nonlinear fractional differential equation, Adomian Decomposition Method, Mittag-Leffler functions,

Abstract :

‎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_{1}‎, ‎u_{2}‎, ‎u_{3}$.