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

Journal of Applied & Computational Mathematics

article

Hendi FA¹  Shammakh W¹  Al-badrani H² 

[1] Department of Mathematics, King Abdulaziz University;Department of Mathematics, Taibah University

关键词: Adomian decomposition;    Integral equations;    Homotopy;    Functional equations;   

DOI  :  10.4172/2168-9679.1000306

来源: Hilaris Publisher

【 摘 要 】

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.

【 授权许可】

Unknown