On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative
In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction princip...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4099173 |
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| _version_ | 1832546038405136384 |
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| author | Ali El Mfadel Said Melliani M’hamed Elomari |
| author_facet | Ali El Mfadel Said Melliani M’hamed Elomari |
| author_sort | Ali El Mfadel |
| collection | DOAJ |
| description | In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results. |
| format | Article |
| id | doaj-art-10aa01cb241449bd8dcef2fd2b06b1e1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-10aa01cb241449bd8dcef2fd2b06b1e12025-02-03T07:24:03ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/40991734099173On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional DerivativeAli El Mfadel0Said Melliani1M’hamed Elomari2Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, MoroccoIn this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results.http://dx.doi.org/10.1155/2021/4099173 |
| spellingShingle | Ali El Mfadel Said Melliani M’hamed Elomari On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative Journal of Function Spaces |
| title | On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative |
| title_full | On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative |
| title_fullStr | On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative |
| title_full_unstemmed | On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative |
| title_short | On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative |
| title_sort | on the existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving caputo fractional derivative |
| url | http://dx.doi.org/10.1155/2021/4099173 |
| work_keys_str_mv | AT alielmfadel ontheexistenceanduniquenessresultsforfuzzylinearandsemilinearfractionalevolutionequationsinvolvingcaputofractionalderivative AT saidmelliani ontheexistenceanduniquenessresultsforfuzzylinearandsemilinearfractionalevolutionequationsinvolvingcaputofractionalderivative AT mhamedelomari ontheexistenceanduniquenessresultsforfuzzylinearandsemilinearfractionalevolutionequationsinvolvingcaputofractionalderivative |