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Zbl 1141.65398
Momani, Shaher; Odibat, Zaid
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. (English)
[J] Comput. Math. Appl. 54, No. 7-8, 910-919 (2007). ISSN 0898-1221

Summary: The homotopy perturbation method is adopted for solving linear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Comparison of the results obtained by the homotopy perturbation method with those obtained by the variational iteration method reveals that the present methods are very effective and convenient.

MSC 2000:: *65R20 Integral equations (numerical methods)
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals (real functions)

Keywords: variational iteration method; homotopy perturbation method; fractional differential equations; time-fractional diffusion wave equation; time-fractional wave equation; Caputo derivative; numerical examples

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Zentralblatt MATH Berlin [Germany]