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Solving fractional diffusion and wave equations by modified homotopy perturbation method
Journal article   Peer reviewed

Solving fractional diffusion and wave equations by modified homotopy perturbation method

Hossein Jafari and Shaher Momani
Physics letters. A, Vol.370(5), pp.388-396
29/10/2007
DOI: https://doi.org/10.1016/j.physleta.2007.05.118

Abstract

Caputo fractional derivative Fractional diffusion equation Fractional partial differential equation Fractional wave equation Homotopy perturbation method
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.

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