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Solving fractional diffusion and wave equations by modified homotopy perturbation method |
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| Authors: | Hossein Jafari Shaher Momani |
| Institution: | aDepartment of Mathematics and Computer Science, University of Mazandaran, PO Box 47416-1467, Babolsar, Iran bDepartment of Mathematics and Physics, Qatar University, PO Box 2713, Doha, Qatar |
| Abstract: | 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. |
| Keywords: | Fractional partial differential equation Homotopy perturbation method Fractional diffusion equation Fractional wave equation Caputo fractional derivative |
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