Homotopy Perturbation and Adomian Decomposition Methods for a Quadratic Integral Equations with Erdelyi-Kober Fractional OperatorHendi FA1*, Shammakh W1 and Al-badrani H2
- *Corresponding Author:
- Hendi FA
Department of Mathematics
King Abdulaziz University, Saudi Arabia
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.
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.