Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative
In this paper, we extended some numerical methods to solve fuzzy integro differential equations. The considered problem involves the fractional Caputo derivatives under some conditions on the ordered. As we combine Euler's method with composite Simpsons have been used to determine the solution...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2024-10-01
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| Series: | Academic Science Journal |
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| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/578 |
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| author | Ruaa N. Abduallah Rokan khaji |
| author_facet | Ruaa N. Abduallah Rokan khaji |
| author_sort | Ruaa N. Abduallah |
| collection | DOAJ |
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In this paper, we extended some numerical methods to solve fuzzy integro differential equations. The considered problem involves the fractional Caputo derivatives under some conditions on the ordered. As we combine Euler's method with composite Simpsons have been used to determine the solutions of these equations. We extend these numerical techniques to find the best solutions. Extended difference Euler technique is used for this. The results show that the extended Euler method is more accurate in terms of absolute error. Illustrative examples are given to demonstrate the high precision and good performance of the new class.
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| format | Article |
| id | doaj-art-d3aa4802b9de43acaaaf77ef5d60c3e8 |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-d3aa4802b9de43acaaaf77ef5d60c3e82024-11-19T09:57:59ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682024-10-012410.24237/ASJ.02.04.780BNumerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional DerivativeRuaa N. AbduallahRokan khaji In this paper, we extended some numerical methods to solve fuzzy integro differential equations. The considered problem involves the fractional Caputo derivatives under some conditions on the ordered. As we combine Euler's method with composite Simpsons have been used to determine the solutions of these equations. We extend these numerical techniques to find the best solutions. Extended difference Euler technique is used for this. The results show that the extended Euler method is more accurate in terms of absolute error. Illustrative examples are given to demonstrate the high precision and good performance of the new class. https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/578Euler method, exact solution, approximate solution, fuzzy parameter, Caputo Fractional. |
| spellingShingle | Ruaa N. Abduallah Rokan khaji Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative Academic Science Journal Euler method, exact solution, approximate solution, fuzzy parameter, Caputo Fractional. |
| title | Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative |
| title_full | Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative |
| title_fullStr | Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative |
| title_full_unstemmed | Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative |
| title_short | Numerical Studied for Solving Fuzzy Integro-Differential Equations via Caputo Fractional Derivative |
| title_sort | numerical studied for solving fuzzy integro differential equations via caputo fractional derivative |
| topic | Euler method, exact solution, approximate solution, fuzzy parameter, Caputo Fractional. |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/578 |
| work_keys_str_mv | AT ruaanabduallah numericalstudiedforsolvingfuzzyintegrodifferentialequationsviacaputofractionalderivative AT rokankhaji numericalstudiedforsolvingfuzzyintegrodifferentialequationsviacaputofractionalderivative |