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Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
Homotopy perturbation method for nonlinear partial differential equations of fractional order. (English)
[J] Phys. Lett., A 365, No. 5-6, 345-350 (2007). ISSN 0375-9601

Summary: 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.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
35G20 General theory of nonlinear higher-order PDE
26A33 Fractional derivatives and integrals (real functions)
35B20 Perturbations (PDE)
35C10 Series solutions of PDE

Keywords: homotopy perturbation method; numerical solution; fractional differential equation; Caputo fractional derivative

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