Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups
In this work, we discuss solutions to the abstract Cauchy problem of fuzzy conformal fractional. In addition, the method of fuzzy fractional semigroups is used to obtain analytical solutions to the fractional differential equation. We use the concept of Krasnoselskii’s fixed point theorem to determi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2024/9993669 |
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| _version_ | 1850163644014264320 |
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| author | Fouad Ibrahim Abdou Amir Aziz El Ghazouani M’hamed El Omari Said Melliani |
| author_facet | Fouad Ibrahim Abdou Amir Aziz El Ghazouani M’hamed El Omari Said Melliani |
| author_sort | Fouad Ibrahim Abdou Amir |
| collection | DOAJ |
| description | In this work, we discuss solutions to the abstract Cauchy problem of fuzzy conformal fractional. In addition, the method of fuzzy fractional semigroups is used to obtain analytical solutions to the fractional differential equation. We use the concept of Krasnoselskii’s fixed point theorem to determine the existence and uniqueness of the solution. An application is also given to illustrate our main abstract results. |
| format | Article |
| id | doaj-art-e92edef2d2604b33b7eb181ccb9d7b17 |
| institution | OA Journals |
| issn | 1537-744X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e92edef2d2604b33b7eb181ccb9d7b172025-08-20T02:22:14ZengWileyThe Scientific World Journal1537-744X2024-01-01202410.1155/2024/9993669Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−SemigroupsFouad Ibrahim Abdou Amir0Aziz El Ghazouani1M’hamed El Omari2Said Melliani3Laboratory of Applied Mathematics and Scientific ComputingLaboratory of Applied Mathematics and Scientific ComputingLaboratory of Applied Mathematics and Scientific ComputingLaboratory of Applied Mathematics and Scientific ComputingIn this work, we discuss solutions to the abstract Cauchy problem of fuzzy conformal fractional. In addition, the method of fuzzy fractional semigroups is used to obtain analytical solutions to the fractional differential equation. We use the concept of Krasnoselskii’s fixed point theorem to determine the existence and uniqueness of the solution. An application is also given to illustrate our main abstract results.http://dx.doi.org/10.1155/2024/9993669 |
| spellingShingle | Fouad Ibrahim Abdou Amir Aziz El Ghazouani M’hamed El Omari Said Melliani Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups The Scientific World Journal |
| title | Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups |
| title_full | Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups |
| title_fullStr | Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups |
| title_full_unstemmed | Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups |
| title_short | Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups |
| title_sort | fuzzy fractional differential equation involving the fuzzy conformable derivative and the α semigroups |
| url | http://dx.doi.org/10.1155/2024/9993669 |
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