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Zbl 1209.65111
Jafari, Hossein; Momani, Shaher
Solving fractional diffusion and wave equations by modified homotopy perturbation method. (English)
[J] Phys. Lett., A 370, No. 5-6, 388-396 (2007). ISSN 0375-9601

Summary: This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.
MSC 2000:
*65M99 Numerical methods for IVP of PDE
35K57 Reaction-diffusion equations

Keywords: fractional partial differential equation; homotopy perturbation method; fractional diffusion equation; fractional wave equation; Caputo fractional derivative

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