A Predictor-Corrector Algorithm in the Framework of Conformable Fractional Differential Equations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917703067893760 |
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| author | Echchehira, Mohamed Assebbane, Youness Atraoui, Mustapha Bouaouid, Mohamed |
| author_facet | Echchehira, Mohamed Assebbane, Youness Atraoui, Mustapha Bouaouid, Mohamed |
| contents | This work proposes a conformable fractional predictor-corrector algorithm for solving conformable fractional differential equations. Fractional calculus is finding applications in various scientific fields, but existing numerical methods might have limitations. This work addresses that gap by introducing a new algorithm specifically designed for the conformable fractional derivative using Adams-Bashforth and Adams-Moulton methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16216 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Predictor-Corrector Algorithm in the Framework of Conformable Fractional Differential Equations Echchehira, Mohamed Assebbane, Youness Atraoui, Mustapha Bouaouid, Mohamed Numerical Analysis This work proposes a conformable fractional predictor-corrector algorithm for solving conformable fractional differential equations. Fractional calculus is finding applications in various scientific fields, but existing numerical methods might have limitations. This work addresses that gap by introducing a new algorithm specifically designed for the conformable fractional derivative using Adams-Bashforth and Adams-Moulton methods. |
| title | A Predictor-Corrector Algorithm in the Framework of Conformable Fractional Differential Equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2406.16216 |