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.
Article Type
Article
How to Cite this Article
Hasan, Sameer Qasim and Sahib, Ali Adnan Abdul
(2014)
"Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations,"
Baghdad Science Journal: Vol. 11:
Iss.
4, Article 26.
DOI: https://doi.org/10.21123/bsj.2014.11.4.1637-1648
