Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm integro-differential equation
For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional nonlinear fractional Fredholm integro-differenti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2023-02-01
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| Series: | Journal of Algorithms & Computational Technology |
| Online Access: | https://doi.org/10.1177/17483026221151196 |
| _version_ | 1811169525121417216 |
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| author | Mahmoud S Rawashdeh Hala Abedalqader Nazek A Obeidat |
| author_facet | Mahmoud S Rawashdeh Hala Abedalqader Nazek A Obeidat |
| author_sort | Mahmoud S Rawashdeh |
| collection | DOAJ |
| description | For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional nonlinear fractional Fredholm integro-differential equations. Then, we apply the approach to five test problems for a general fractional derivative β involving fractional Fredholm integro-differential equations. To the best of our knowledge, we are the first to ever do so because of the very complicated calculations involved when dealing with the general case β . For fractional Fredholm integral-differential equations, we provide both exact and approximate solutions. Throughout this work, the fractional Caputo derivative is discussed. This technique leads us to say that the method is precise, accurate, and efficient, according to the theoretical analysis. |
| first_indexed | 2024-04-10T16:45:00Z |
| format | Article |
| id | doaj.art-fe3ecf74cea7495fb931db7a824e3c48 |
| institution | Directory Open Access Journal |
| issn | 1748-3026 |
| language | English |
| last_indexed | 2024-04-10T16:45:00Z |
| publishDate | 2023-02-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Algorithms & Computational Technology |
| spelling | doaj.art-fe3ecf74cea7495fb931db7a824e3c482023-02-08T03:33:20ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30262023-02-011710.1177/17483026221151196Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm integro-differential equationMahmoud S RawashdehHala AbedalqaderNazek A ObeidatFor scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional nonlinear fractional Fredholm integro-differential equations. Then, we apply the approach to five test problems for a general fractional derivative β involving fractional Fredholm integro-differential equations. To the best of our knowledge, we are the first to ever do so because of the very complicated calculations involved when dealing with the general case β . For fractional Fredholm integral-differential equations, we provide both exact and approximate solutions. Throughout this work, the fractional Caputo derivative is discussed. This technique leads us to say that the method is precise, accurate, and efficient, according to the theoretical analysis.https://doi.org/10.1177/17483026221151196 |
| spellingShingle | Mahmoud S Rawashdeh Hala Abedalqader Nazek A Obeidat Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm integro-differential equation Journal of Algorithms & Computational Technology |
| title | Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm
integro-differential equation |
| title_full | Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm
integro-differential equation |
| title_fullStr | Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm
integro-differential equation |
| title_full_unstemmed | Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm
integro-differential equation |
| title_short | Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm
integro-differential equation |
| title_sort | convergence analysis for the fractional decomposition method applied to class of nonlinear fractional fredholm integro differential equation |
| url | https://doi.org/10.1177/17483026221151196 |
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