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

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

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.

تاریخ دریافت : 1396/09/26 تاریخ پذیرش : 1397/04/06 تاریخ انتشار : 1399/02/12

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

چکیده مقاله :

‎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}$.