Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method
In this work, a modified residual power series method is implemented for providing efficient analytical and approximate solutions for a class of coupled system of nonlinear fractional integrodifferential equations. The proposed algorithm is based on the concept of residual error functions and genera...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1010382 |
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| author | Ayed Al e’damat |
| author_facet | Ayed Al e’damat |
| author_sort | Ayed Al e’damat |
| collection | DOAJ |
| description | In this work, a modified residual power series method is implemented for providing efficient analytical and approximate solutions for a class of coupled system of nonlinear fractional integrodifferential equations. The proposed algorithm is based on the concept of residual error functions and generalized power series formula. The fractional derivative is described under the Caputo concept. To illustrate the potential, accuracy, and efficiency of the proposed method, two numerical applications of the coupled system of nonlinear fractional integrodifferential equations are tested. The numerical results confirm the theoretical predictions and depict that the suggested scheme is highly convenient, is quite effective, and practically simplifies computational time. Consequently, the proposed method is simple, accurate, and convenient in handling different types of fractional models arising in the engineering and physical systems. |
| format | Article |
| id | doaj-art-83a87371ac384560bb2fdb54f6d7d16d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-83a87371ac384560bb2fdb54f6d7d16d2025-02-03T05:52:27ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/10103821010382Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS MethodAyed Al e’damat0Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an, JordanIn this work, a modified residual power series method is implemented for providing efficient analytical and approximate solutions for a class of coupled system of nonlinear fractional integrodifferential equations. The proposed algorithm is based on the concept of residual error functions and generalized power series formula. The fractional derivative is described under the Caputo concept. To illustrate the potential, accuracy, and efficiency of the proposed method, two numerical applications of the coupled system of nonlinear fractional integrodifferential equations are tested. The numerical results confirm the theoretical predictions and depict that the suggested scheme is highly convenient, is quite effective, and practically simplifies computational time. Consequently, the proposed method is simple, accurate, and convenient in handling different types of fractional models arising in the engineering and physical systems.http://dx.doi.org/10.1155/2020/1010382 |
| spellingShingle | Ayed Al e’damat Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method Complexity |
| title | Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method |
| title_full | Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method |
| title_fullStr | Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method |
| title_full_unstemmed | Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method |
| title_short | Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method |
| title_sort | approximate analytical solution for a coupled system of fractional nonlinear integrodifferential equations by the rps method |
| url | http://dx.doi.org/10.1155/2020/1010382 |
| work_keys_str_mv | AT ayedaledamat approximateanalyticalsolutionforacoupledsystemoffractionalnonlinearintegrodifferentialequationsbytherpsmethod |