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Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. (English) Zbl 1141.65398

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:

65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals
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