Modified Homotopy Perturbation Method For Solving Fractional Differential Equations

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Date

2022

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UNIVERSITY of M'SILA

Abstract

In this work, we applied two modifications of He’s homotopy perturbation method HPM suggested by Momani and Odibat to obtaining solutions of linear (nonlinear) ordinary (partial) differential equations of fractional order. The fractional derivative is described in the Caputo sense. Some illustrative examples are given to reveal the effectiveness and convenience of these modifications.

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Keywords

Fractional calculus, fractional derivatives, Fractional Differential Equations, Homotopy Perturbation Method, Modified Homotopy Perturbation Method.

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