Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation. (2nd December 2018)

• Record Type: Journal Article
• Authors: Kashkari, Bothayna S. H.; Syam, Muhammed I.
• Other Names: Martínez Eulalia Academic Editor.
• Is Part Of: Complexity. Volume 2018(2018)
• Publication Date: 2018-12-02
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2018/2304858
• Languages: English
• ISSNs: 1076-2787

Abstract

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.