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Solving systems of fractional differential equations by homotopy-perturbation method |
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| Authors: | O. Abdulaziz S. Momani |
| Affiliation: | a School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia b Department of Mathematics, Mutah University, PO Box 7, Al-Karak, Jordan |
| Abstract: | In this Letter, approximate analytical solutions of systems of Fractional Differential Equations (FDEs) are derived by the Homotopy-Perturbation Method (HPM). The fractional derivatives are described in the Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions of nonlinear systems of FDEs. |
| Keywords: | Homotopy-perturbation method Fractional differential equations Caputo fractional derivative |
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