Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems
In this paper, we applied an efficient integrative method called the fractional Picard method to find the approximate solution to a system of fractional algebraic differential equations (SFADEs). By comparing the results with the exact solution, it was found that this method is highly efficient for...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/8499850 |
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| _version_ | 1832543627756175360 |
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| author | Susan H. Mohammad Abdulghafor Mohammed Al-Rozbayani |
| author_facet | Susan H. Mohammad Abdulghafor Mohammed Al-Rozbayani |
| author_sort | Susan H. Mohammad |
| collection | DOAJ |
| description | In this paper, we applied an efficient integrative method called the fractional Picard method to find the approximate solution to a system of fractional algebraic differential equations (SFADEs). By comparing the results with the exact solution, it was found that this method is highly efficient for finding solutions. Also, a genetic algorithm (GA) was used to speed up the approximate solutions when choosing the best values for the fractional derivative, which increased the efficiency of Picard’s fractional integral method in finding the best solutions. The MATLAB program was used to find approximate solutions. |
| format | Article |
| id | doaj-art-3be5a869763e4a71b00b695ecf5791c7 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3be5a869763e4a71b00b695ecf5791c72025-02-03T11:37:23ZengWileyJournal of Applied Mathematics1687-00422024-01-01202410.1155/2024/8499850Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic SystemsSusan H. Mohammad0Abdulghafor Mohammed Al-Rozbayani1College of Computer Science and MathematicsCollege of Computer Science and MathematicsIn this paper, we applied an efficient integrative method called the fractional Picard method to find the approximate solution to a system of fractional algebraic differential equations (SFADEs). By comparing the results with the exact solution, it was found that this method is highly efficient for finding solutions. Also, a genetic algorithm (GA) was used to speed up the approximate solutions when choosing the best values for the fractional derivative, which increased the efficiency of Picard’s fractional integral method in finding the best solutions. The MATLAB program was used to find approximate solutions.http://dx.doi.org/10.1155/2024/8499850 |
| spellingShingle | Susan H. Mohammad Abdulghafor Mohammed Al-Rozbayani Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems Journal of Applied Mathematics |
| title | Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems |
| title_full | Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems |
| title_fullStr | Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems |
| title_full_unstemmed | Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems |
| title_short | Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems |
| title_sort | fractional integration via picard method for solving fractional differential algebraic systems |
| url | http://dx.doi.org/10.1155/2024/8499850 |
| work_keys_str_mv | AT susanhmohammad fractionalintegrationviapicardmethodforsolvingfractionaldifferentialalgebraicsystems AT abdulghaformohammedalrozbayani fractionalintegrationviapicardmethodforsolvingfractionaldifferentialalgebraicsystems |