Solving the (1+n)-dimensional fractional Burgers equation by natural decomposition method
M. Cherif1,2, D. Ziane1, A.K. Alomari3, K. Belghaba1
1Laboratory of mathematics and its applications, University of Oran1 Ahmed Ben Bella, Oran, Algeria
2Oran's Hight School of Electrical and Energetics Engineering, Oran, Algeria
3Department of Mathematics, Science Yarmouk University, Irbid, Jordan
Keywords: Adomian decomposition method, natural transform, (1+n)-dimensional Burgers equation, Caputo fractional derivative
Abstract
In this paper, we extend the natural transform combined with the Adomian decomposition method for solving nonlinear partial differential equations with time-fractional derivatives. We apply the proposed method to obtain approximate analytical solutions of the (1+ n )-dimensional fractional Burgers equation. Some illustrative examples are given, which reveal that this is a very efficient and accurate analytical method for solving nonlinear fractional partial differential equations.
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