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 , H. Kazemi demneh ²

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

تاريخ الإرسال : 29 الأحد , ربيع الأول, 1439 تاريخ التأكيد : 13 الأربعاء , شوال, 1439 تاريخ الإصدار : 08 الجمعة , رمضان, 1441

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}$.