Adnan Abdul Sahib, A., Qasim Hasan, S. (2014). Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations. , 11(4), 1637-1648.
Ali Adnan Abdul Sahib; Sameer Qasim Hasan. "Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations". , 11, 4, 2014, 1637-1648.
Adnan Abdul Sahib, A., Qasim Hasan, S. (2014). 'Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations', , 11(4), pp. 1637-1648.
Adnan Abdul Sahib, A., Qasim Hasan, S. Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations. , 2014; 11(4): 1637-1648.

Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations

Baghdad Science Journal
Article 1, Volume 11, Issue 4, 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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