Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators
In this paper, the fuzzy fractional evolution equations of order q (FFEE) with fuzzy Caputo fractional derivative are introduced. We study the existence and uniqueness of mild solutions for FFEE under some conditions. Also, we generalize the definition of the fuzzy fractional integral and derivative...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2019/5734190 |
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| _version_ | 1832558058339827712 |
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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 paper, the fuzzy fractional evolution equations of order q (FFEE) with fuzzy Caputo fractional derivative are introduced. We study the existence and uniqueness of mild solutions for FFEE under some conditions. Also, we generalize the definition of the fuzzy fractional integral and derivative order q. The fuzzy Laplace transform is presented and proved. The solvability of the problem (FFEE) and the properties of the fuzzy solution operator and its generator are investigated and developed. |
| format | Article |
| id | doaj-art-b0974e9ca2cb4466a88272fda7457d5e |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-b0974e9ca2cb4466a88272fda7457d5e2025-02-03T01:33:29ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2019-01-01201910.1155/2019/57341905734190Fuzzy Fractional Evolution Equations and Fuzzy Solution OperatorsAtimad 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 paper, the fuzzy fractional evolution equations of order q (FFEE) with fuzzy Caputo fractional derivative are introduced. We study the existence and uniqueness of mild solutions for FFEE under some conditions. Also, we generalize the definition of the fuzzy fractional integral and derivative order q. The fuzzy Laplace transform is presented and proved. The solvability of the problem (FFEE) and the properties of the fuzzy solution operator and its generator are investigated and developed.http://dx.doi.org/10.1155/2019/5734190 |
| spellingShingle | Atimad Harir Said Melliani Lalla Saadia Chadli Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators Advances in Fuzzy Systems |
| title | Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators |
| title_full | Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators |
| title_fullStr | Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators |
| title_full_unstemmed | Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators |
| title_short | Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators |
| title_sort | fuzzy fractional evolution equations and fuzzy solution operators |
| url | http://dx.doi.org/10.1155/2019/5734190 |
| work_keys_str_mv | AT atimadharir fuzzyfractionalevolutionequationsandfuzzysolutionoperators AT saidmelliani fuzzyfractionalevolutionequationsandfuzzysolutionoperators AT lallasaadiachadli fuzzyfractionalevolutionequationsandfuzzysolutionoperators |