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Solving systems of fractional differential equations by homotopy-perturbation method
Journal article   Peer reviewed

Solving systems of fractional differential equations by homotopy-perturbation method

O. Abdulaziz, I. Hashim and S. Momani
Physics letters. A, Vol.372(4), pp.451-459
21/01/2008
DOI: https://doi.org/10.1016/j.physleta.2007.07.059

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
In this Letter, approximate analytical solutions of systems of Fractional Differential Equations (FDEs) are derived by the Homotopy-Perturbation Method (HPM). The fractional derivatives are described in the Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions of nonlinear systems of FDEs. (C) 2007 Elsevier B.V. All rights reserved.

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