Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations | ||
| Baghdad Science Journal | ||
| Article 1, Volume 11, Issue 4, December 2014, Pages 1637-1648 | ||
| Authors | ||
| Ali Adnan Abdul Sahib; Sameer Qasim Hasan | ||
| Abstract | ||
| In this paper,the homtopy perturbation method (HPM) was applied to obtain the approximate solutions of the fractional order integro-differential equations . The fractional order derivatives and fractional order integral are described in the Caputo and Riemann-Liouville sense respectively. We can easily obtain the solution from convergent the infinite series of HPM . A theorem for convergence and error estimates of the HPM for solving fractional order integro-differential equations was given. Moreover, numerical results show that our theoretical analysis are accurate and the HPM can be considered as a powerful method for solving fractional order integro-diffrential equations. | ||
| Keywords | ||
| Homotopy perturbation method; fractional calculas; integro; differential equations | ||
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