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2008 Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method
O. Abdulaziz, I. Hashim, A. Saif
Differ. Equ. Nonlinear Mech. 2008: 1-16 (2008). DOI: 10.1155/2008/686512

Abstract

The homotopy analysis method (HAM) is applied to solve linear and nonlinear fractional partial differential equations (fPDEs). The fractional derivatives are described by Caputo's sense. Series solutions of the fPDEs are obtained. A convergence theorem for the series solution is also given. The test examples, which include a variable coefficient, inhomogeneous and hyperbolic-type equations, demonstrate the capability of HAM for nonlinear fPDEs.

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O. Abdulaziz. I. Hashim. A. Saif. "Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method." Differ. Equ. Nonlinear Mech. 2008 1 - 16, 2008. https://doi.org/10.1155/2008/686512

Information

Received: 12 August 2008; Accepted: 30 October 2008; Published: 2008
First available in Project Euclid: 26 January 2017

zbMATH: 1172.35305
MathSciNet: MR2475784
Digital Object Identifier: 10.1155/2008/686512

Rights: Copyright © 2008 Hindawi

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