Exact solutions of (1+2)-dimensional non-linear time-space fractional PDEs

Author:

Kumar ManojORCID

Abstract

PurposeIn this paper, the author presents a hybrid method along with its error analysis to solve (1+2)-dimensional non-linear time-space fractional partial differential equations (FPDEs).Design/methodology/approachThe proposed method is a combination of Sumudu transform and a semi-analytc technique Daftardar-Gejji and Jafari method (DGJM).FindingsThe author solves various non-trivial examples using the proposed method. Moreover, the author obtained the solutions either in exact form or in a series that converges to a closed-form solution. The proposed method is a very good tool to solve this type of equations.Originality/valueThe present work is original. To the best of the author's knowledge, this work is not done by anyone in the literature.

Publisher

Emerald

Subject

General Mathematics

Reference45 articles.

1. Sumudu transform: a new integral transform to solve differential equations and control engineering problems;Integrated Educ,1993

2. An iterative method for solving nonlinear functional equations;J Math Anal Appl,2006

3. A note on fractional order derivatives and table of fractional derivatives of some special functions,2013

4. A review of definitions for fractional derivatives and integral;Math Probl Eng,2014

5. Fractional derivatives and integrals: what are they needed for?;Mathematics,2020

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