Fuzzy Conformable Fractional Differential Equations
In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential e...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/6655450 |
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| _version_ | 1850235346034360320 |
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| author | Atimad Harir Said Melliani Lalla Saadia Chadli |
| author_facet | Atimad Harir Said Melliani Lalla Saadia Chadli |
| author_sort | Atimad Harir |
| collection | DOAJ |
| description | In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable differentiability. This concept is based on the enlargement of the class of differentiable fuzzy mappings; for this, we consider the lateral Hukuhara derivatives of order q∈0,1. |
| format | Article |
| id | doaj-art-10b0d6d8c51c4e84beb0b38915ca212c |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-10b0d6d8c51c4e84beb0b38915ca212c2025-08-20T02:02:17ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/66554506655450Fuzzy Conformable Fractional Differential EquationsAtimad Harir0Said Melliani1Lalla Saadia Chadli2Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoIn this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable differentiability. This concept is based on the enlargement of the class of differentiable fuzzy mappings; for this, we consider the lateral Hukuhara derivatives of order q∈0,1.http://dx.doi.org/10.1155/2021/6655450 |
| spellingShingle | Atimad Harir Said Melliani Lalla Saadia Chadli Fuzzy Conformable Fractional Differential Equations International Journal of Differential Equations |
| title | Fuzzy Conformable Fractional Differential Equations |
| title_full | Fuzzy Conformable Fractional Differential Equations |
| title_fullStr | Fuzzy Conformable Fractional Differential Equations |
| title_full_unstemmed | Fuzzy Conformable Fractional Differential Equations |
| title_short | Fuzzy Conformable Fractional Differential Equations |
| title_sort | fuzzy conformable fractional differential equations |
| url | http://dx.doi.org/10.1155/2021/6655450 |
| work_keys_str_mv | AT atimadharir fuzzyconformablefractionaldifferentialequations AT saidmelliani fuzzyconformablefractionaldifferentialequations AT lallasaadiachadli fuzzyconformablefractionaldifferentialequations |