Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative
In this research paper, we have attempted to establish the definition of the fractional derivative $\psi$-Caputo, the $\psi $-fractional integral, and the $\psi$-Laplace transform in the fuzzy intuitionistic sense, along with their properties. Furthermore, our objective is to explore the existence a...
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| Format: | Article |
| Language: | English |
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Oles Honchar Dnipro National University
2025-08-01
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| Series: | Researches in Mathematics |
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| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/455/455 |
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| author | K. Oufkir H. Sadiki M. Elomari |
| author_facet | K. Oufkir H. Sadiki M. Elomari |
| author_sort | K. Oufkir |
| collection | DOAJ |
| description | In this research paper, we have attempted to establish the definition of the fractional derivative $\psi$-Caputo, the $\psi $-fractional integral, and the $\psi$-Laplace transform in the fuzzy intuitionistic sense, along with their properties. Furthermore, our objective is to explore the existence and uniqueness of solutions for certain intuitionistic fuzzy fractional differential equations (IFFDE) under the $\psi$-Caputo derivative of order $q \in (0,1)$. Lastly, we present an application example at the end to demonstrate how these findings can be applied in practice. |
| format | Article |
| id | doaj-art-dbd55f519baf44b1bf6b84dab165c787 |
| institution | Kabale University |
| issn | 2664-4991 2664-5009 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Researches in Mathematics |
| spelling | doaj-art-dbd55f519baf44b1bf6b84dab165c7872025-08-20T04:02:28ZengOles Honchar Dnipro National UniversityResearches in Mathematics2664-49912664-50092025-08-013319912110.15421/242507Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivativeK. Oufkir0https://orcid.org/0000-0002-5465-7118H. Sadiki1M. Elomari2Sultan Moulay Slimane UniversitySultan Moulay Slimane UniversitySultan Moulay Slimane UniversityIn this research paper, we have attempted to establish the definition of the fractional derivative $\psi$-Caputo, the $\psi $-fractional integral, and the $\psi$-Laplace transform in the fuzzy intuitionistic sense, along with their properties. Furthermore, our objective is to explore the existence and uniqueness of solutions for certain intuitionistic fuzzy fractional differential equations (IFFDE) under the $\psi$-Caputo derivative of order $q \in (0,1)$. Lastly, we present an application example at the end to demonstrate how these findings can be applied in practice.https://vestnmath.dnu.dp.ua/index.php/rim/article/view/455/455intuitionistic fuzzy setintuitionistic fuzzy $\psi$-fractional integralintuitionistic fuzzy $\psi$-caputo fractional derivativeintuitionistic fuzzy fractional differential equations |
| spellingShingle | K. Oufkir H. Sadiki M. Elomari Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative Researches in Mathematics intuitionistic fuzzy set intuitionistic fuzzy $\psi$-fractional integral intuitionistic fuzzy $\psi$-caputo fractional derivative intuitionistic fuzzy fractional differential equations |
| title | Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative |
| title_full | Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative |
| title_fullStr | Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative |
| title_full_unstemmed | Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative |
| title_short | Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative |
| title_sort | solving intuitionistic fuzzy fractional differential equations with psi caputo fractional derivative |
| topic | intuitionistic fuzzy set intuitionistic fuzzy $\psi$-fractional integral intuitionistic fuzzy $\psi$-caputo fractional derivative intuitionistic fuzzy fractional differential equations |
| url | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/455/455 |
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