Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation

Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation

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 resu...

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Main Authors: Bothayna S. H. Kashkari, Muhammed I. Syam
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/2304858
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spelling doaj-a86af07514b2467789862517bf3d6ea42020-11-25T01:13:59ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/23048582304858Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential EquationBothayna S. H. Kashkari0Muhammed I. Syam1Department of Mathematics, Faculty of Science, AL Faisaliah, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematical Sciences, UAE University, College of Science, P.O. Box 17551, Al-Ain, UAEThis 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.http://dx.doi.org/10.1155/2018/2304858
collection DOAJ
language English
format Article
sources DOAJ
author Bothayna S. H. Kashkari
Muhammed I. Syam
spellingShingle Bothayna S. H. Kashkari
Muhammed I. Syam
Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
Complexity
author_facet Bothayna S. H. Kashkari
Muhammed I. Syam
author_sort Bothayna S. H. Kashkari
title Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
title_short Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
title_full Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
title_fullStr Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
title_full_unstemmed Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
title_sort reproducing kernel method for solving nonlinear fractional fredholm integrodifferential equation
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/2304858
work_keys_str_mv AT bothaynashkashkari reproducingkernelmethodforsolvingnonlinearfractionalfredholmintegrodifferentialequation
AT muhammedisyam reproducingkernelmethodforsolvingnonlinearfractionalfredholmintegrodifferentialequation
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