A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms
The fuzzy conformable Laplace transforms proposed in \cite{lp} are used to solve only fuzzy fractional differential equations of order $ 0 < \iota \leq 1$. In this article, under the generalized conformable fractional derivatives notion, we extend and use this method to solve fuzzy fractional dif...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2023-09-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_705349_f243bb8e42dca32509c89399194a26a0.pdf |
| _version_ | 1827800047245328384 |
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| author | Atimad Harir Said Melliani L. Saadia Chadli |
| author_facet | Atimad Harir Said Melliani L. Saadia Chadli |
| author_sort | Atimad Harir |
| collection | DOAJ |
| description | The fuzzy conformable Laplace transforms proposed in \cite{lp} are used to solve only fuzzy fractional differential equations of order $ 0 < \iota \leq 1$. In this article, under the generalized conformable fractional derivatives notion, we extend and use this method to solve fuzzy fractional differential equations of order $ 0 < \iota \leq 2$. |
| first_indexed | 2024-03-11T20:00:56Z |
| format | Article |
| id | doaj.art-ea8b1fea83ce4afea15b7cd8ac1a009c |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-03-11T20:00:56Z |
| publishDate | 2023-09-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-ea8b1fea83ce4afea15b7cd8ac1a009c2023-10-04T08:29:38ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-09-0120415517010.22130/scma.2023.555318.1128705349A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace TransformsAtimad Harir0Said Melliani1L. Saadia Chadli2Laboratory of Mathematical Modeling and Economic Calculation, Hassan 1er University, Settat, Morocco.Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, B.P. 523, Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, B.P. 523, Beni Mellal, Morocco.The fuzzy conformable Laplace transforms proposed in \cite{lp} are used to solve only fuzzy fractional differential equations of order $ 0 < \iota \leq 1$. In this article, under the generalized conformable fractional derivatives notion, we extend and use this method to solve fuzzy fractional differential equations of order $ 0 < \iota \leq 2$.https://scma.maragheh.ac.ir/article_705349_f243bb8e42dca32509c89399194a26a0.pdffuzzy conformable laplace transformsgeneralized conformable fractional derivativesfuzzy fractional differential equationsanalytic solution method |
| spellingShingle | Atimad Harir Said Melliani L. Saadia Chadli A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms Sahand Communications in Mathematical Analysis fuzzy conformable laplace transforms generalized conformable fractional derivatives fuzzy fractional differential equations analytic solution method |
| title | A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms |
| title_full | A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms |
| title_fullStr | A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms |
| title_full_unstemmed | A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms |
| title_short | A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms |
| title_sort | fuzzy solution of fractional differential equations by fuzzy conformable laplace transforms |
| topic | fuzzy conformable laplace transforms generalized conformable fractional derivatives fuzzy fractional differential equations analytic solution method |
| url | https://scma.maragheh.ac.ir/article_705349_f243bb8e42dca32509c89399194a26a0.pdf |
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