Contrast of Homotopy and Adomian Decomposition Methods with Mittage-Leffler Function for Solving Some Nonlinear Fractional Partial Differential Equations
الموضوعات : مجله بین المللی ریاضیات صنعتی
M. Jahanshahi
1
(
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
)
H. Kazemi demneh
2
(
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
)
الکلمات المفتاحية: Homotopy Analytical Method, Nonlinear fractional differential equation, Adomian Decomposition Method, Mittag-Leffler functions,
ملخص المقالة :
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}$.
