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2014 Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
Asma Ali Elbeleze, Adem Kılıçman, Bachok M. Taib
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/803902

Abstract

We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of fractional order. Convergence of the method is proved and the convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution. The fractional derivatives are described in the Caputo sense. Some examples are presented to verify convergence hypothesis and simplicity of the method.

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Asma Ali Elbeleze. Adem Kılıçman. Bachok M. Taib. "Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/803902

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07023106
MathSciNet: MR3166656
Digital Object Identifier: 10.1155/2014/803902

Rights: Copyright © 2014 Hindawi

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