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Homotopy-Sumudu transforms for solving system of fractional partial differential equations

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In this paper, we investigate the Sumudu transforms and homotopy analysis method (S-HAM) for solving a system of fractional partial differential equations. A general framework for solving such a kind of… Click to show full abstract

In this paper, we investigate the Sumudu transforms and homotopy analysis method (S-HAM) for solving a system of fractional partial differential equations. A general framework for solving such a kind of problems is presented. The method can also be utilized to solve systems of fractional equations of unequal orders. The algorithm is reliable and robust. Existence and convergence results concerning the proposed solution are given. Numerical examples are introduced to demonstrate the efficiency and accuracy of the algorithm.

Keywords: fractional partial; partial differential; solving system; system fractional; differential equations; sumudu transforms

Journal Title: Advances in Difference Equations
Year Published: 2020

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