Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation

Author:

Kashkari Bothayna S. H.1ORCID,Syam Muhammed I.2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, AL Faisaliah, King Abdulaziz University, Jeddah, Saudi Arabia

2. Department of Mathematical Sciences, UAE University, College of Science, P.O. Box 17551, Al-Ain, UAE

Abstract

This article is devoted to both theoretical and numerical studies of nonlinear fractional Fredholm integrodifferential equations. In this paper, we implement the reproducing kernel method (RKM) to approximate the solution of nonlinear fractional Fredholm integrodifferential equations. Numerical results demonstrate the accuracy of the present algorithm. In addition, we prove the existence of the solution of the nonlinear fractional Fredholm integrodifferential equation. Uniformly convergence of the approximate solution produced by the RKM to the exact solution is proven.

Funder

Deanship of Scientific Research (DSR)

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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