A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations

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Mountassir Hamdi Cherif, Djelloul Ziane, A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations, Int. J. Anal. Appl., 15 (2) (2017), 188-197.

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Mountassir Hamdi Cherif, Djelloul Ziane

Abstract

In this paper, we apply an efficient method called the Aboodh decomposition method to solve systems of nonlinear fractional partial differential equations. This method is a combined form of Aboodh transform with Adomian decomposition method. The theoretical analysis of this investigated for systems of nonlinear fractional partial differential equations is calculated in the explicit form of a power series with easily computable terms. Some examples are given to shows that this method is very efficient and accurate. This method can be applied to solve others nonlinear systems problems.

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