Analytical solutions of fractional order diffusion equations by natural transform method. (English) Zbl 1397.35339
Summary: In this article, we develop an analytical method for solving fractional order partial differential equations. Our method is the generalizations of homotopy perturbations Laplace transform method and homotopy perturbations Sumudu transform method. The solutions obtained using the proposed method implies that the method is highly accurate and easy to implement. The proposed method can be easily applied to a large variety of problems, which are modeled in terms of fractional order partial differential equations. Some test problems are solved to show the accuracy of the proposed method. Some results are shown graphically also.
MSC:
| 35R11 | Fractional partial differential equations |
Keywords:
fractional partial differential equations; natural transform; initial conditions; diffusion equation; homotopy perturbation methodReferences:
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