Homotopy perturbation method for nonlinear partial differential equations of fractional order

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Author Momani, Shaher en_US
Author Odibat, Zaid en_US
Available date 2010-01-11T06:34:45Z en_US
Publication Date 2007-01-22 en_US
Citation Momani, S., & Odibat, Z. (2007). Homotopy perturbation method for nonlinear partial differential equations of fractional order. Physics Letters A, 365, 345–350 en_US
URI http://dx.doi.org/10.1016/j.physleta.2007.01.046 en_US
URI http://hdl.handle.net/10576/10641 en_US
Abstract The aim of this Letter is to present an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative. The fractional derivative is described in the Caputo sense. The modified algorithm provides approximate solutions in the form of convergent series with easily computable components. The obtained results are in good agreement with the existing ones in open literature and it is shown that the technique introduced here is robust, efficient and easy to implement en_US
Language en en_US
Publisher Elsevier B.V. en_US
Subject Caputo fractional derivative en_US
Subject Fractional differential equation en_US
Subject Homotopy perturbation method en_US
Subject Numerical solution en_US
Title Homotopy perturbation method for nonlinear partial differential equations of fractional order en_US
Type Article en_US


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