On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative

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: Ali El Mfadel, Said Melliani, M’hamed Elomari
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/4099173
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spelling doaj-10aa01cb241449bd8dcef2fd2b06b1e12021-09-20T00:30:18ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/4099173On 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 ComputingLaboratory of Applied Mathematics and Scientific ComputingLaboratory of Applied Mathematics and Scientific ComputingIn 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
collection DOAJ
language English
format Article
sources DOAJ
author Ali El Mfadel
Said Melliani
M’hamed Elomari
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
author_facet Ali El Mfadel
Said Melliani
M’hamed Elomari
author_sort Ali El Mfadel
title 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_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_sort on the existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving caputo fractional derivative
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
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.
url http://dx.doi.org/10.1155/2021/4099173
work_keys_str_mv AT alielmfadel ontheexistenceanduniquenessresultsforfuzzylinearandsemilinearfractionalevolutionequationsinvolvingcaputofractionalderivative
AT saidmelliani ontheexistenceanduniquenessresultsforfuzzylinearandsemilinearfractionalevolutionequationsinvolvingcaputofractionalderivative
AT mhamedelomari ontheexistenceanduniquenessresultsforfuzzylinearandsemilinearfractionalevolutionequationsinvolvingcaputofractionalderivative
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