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2014 Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
A. A. Hemeda
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/594245

Abstract

The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields. The obtained results reveal that this method is very effective and simple, accelerates the rapid convergence of the series solution, and reduces the size of work to only one iteration.

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A. A. Hemeda. "Modified Homotopy Perturbation Method for Solving Fractional Differential Equations." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/594245

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 1312.35181
MathSciNet: MR3285189
Digital Object Identifier: 10.1155/2014/594245

Rights: Copyright © 2014 Hindawi

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