alexa Homotopy Perturbation and Adomian Decomposition Methods for a Quadratic Integral Equations with Erdelyi-Kober Fractional Operator
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Homotopy Perturbation and Adomian Decomposition Methods for a Quadratic Integral Equations with Erdelyi-Kober Fractional Operator

Hendi FA1*, Shammakh W1 and Al-badrani H2

1Department of Mathematics, King Abdulaziz University, Saudi Arabia

2Department of Mathematics, Taibah University,Saudi Arabia

*Corresponding Author:
Hendi FA
Department of Mathematics
King Abdulaziz University, Saudi Arabia
Tel: 25774662470
E-mail: [email protected]

Received Date: May 18, 2016; Accepted Date: May 25, 2016; Published Date: May 31, 2016

Citation: Hendi FA, Shammakh W, Al-badrani H (2016) Homotopy Perturbation and Adomian Decomposition Methods for a Quadratic Integral Equations with Erdelyi-Kober Fractional Operator. J Appl Computat Math 5:306. doi:10.4172/2168-9679.1000306

Copyright: © 2016 Hendi FA, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

This paper is devoted with two analytical methods; Homotopy perturbation method (HPM) and Adomian decomposition method(ADM). We display an efficient application of the ADM and HPM methods to the nonlinear fractional quadratic integral equations of Erdelyi-kober type. The existence and uniqueness of the solution and convergence will be discussed. In particular, the well-known Chandrasekhar integral equation also belong to this class, recent will be discussed. Finally, two numerical examples demonstrate the efficiency of the method.

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