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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/2304858 |
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| _version_ | 1832560334238384128 |
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| author | Bothayna S. H. Kashkari Muhammed I. Syam |
| author_facet | Bothayna S. H. Kashkari Muhammed I. Syam |
| author_sort | Bothayna S. H. Kashkari |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a86af07514b2467789862517bf3d6ea4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a86af07514b2467789862517bf3d6ea42025-02-03T01:27:49ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/23048582304858Reproducing 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 |
| spellingShingle | Bothayna S. H. Kashkari Muhammed I. Syam Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation Complexity |
| title | 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_short | Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation |
| title_sort | reproducing kernel method for solving nonlinear fractional fredholm integrodifferential equation |
| url | http://dx.doi.org/10.1155/2018/2304858 |
| work_keys_str_mv | AT bothaynashkashkari reproducingkernelmethodforsolvingnonlinearfractionalfredholmintegrodifferentialequation AT muhammedisyam reproducingkernelmethodforsolvingnonlinearfractionalfredholmintegrodifferentialequation |