Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method
We study the solution of fractional Fredholm integrodifferential equation. A modified version of the fractional power series method (RPS) is presented to extract an approximate solution of the model. The RPS method is a combination of the generalized fractional Taylor series and the residual functio...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/4573589 |
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| _version_ | 1850222230015836160 |
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| author | Muhammed I. Syam |
| author_facet | Muhammed I. Syam |
| author_sort | Muhammed I. Syam |
| collection | DOAJ |
| description | We study the solution of fractional Fredholm integrodifferential equation. A modified version of the fractional power series method (RPS) is presented to extract an approximate solution of the model. The RPS method is a combination of the generalized fractional Taylor series and the residual functions. To show the efficiency of the proposed method, numerical results are presented. |
| format | Article |
| id | doaj-art-729d385affc243488ab35c9d2037e99d |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-729d385affc243488ab35c9d2037e99d2025-08-20T02:06:24ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/45735894573589Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series MethodMuhammed I. Syam0Department of Mathematical Sciences, UAE University, Al-Ain, UAEWe study the solution of fractional Fredholm integrodifferential equation. A modified version of the fractional power series method (RPS) is presented to extract an approximate solution of the model. The RPS method is a combination of the generalized fractional Taylor series and the residual functions. To show the efficiency of the proposed method, numerical results are presented.http://dx.doi.org/10.1155/2017/4573589 |
| spellingShingle | Muhammed I. Syam Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method Complexity |
| title | Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method |
| title_full | Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method |
| title_fullStr | Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method |
| title_full_unstemmed | Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method |
| title_short | Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method |
| title_sort | analytical solution of the fractional fredholm integrodifferential equation using the fractional residual power series method |
| url | http://dx.doi.org/10.1155/2017/4573589 |
| work_keys_str_mv | AT muhammedisyam analyticalsolutionofthefractionalfredholmintegrodifferentialequationusingthefractionalresidualpowerseriesmethod |