Fuzzy Conformable Fractional Semigroups of Operators

Fuzzy Conformable Fractional Semigroups of Operators

In this paper, we introduce a fuzzy fractional semigroup of operators whose generator will be the fuzzy fractional derivative of the fuzzy semigroup at t=0. We establish some of their proprieties and some results about the solution of fuzzy fractional Cauchy problem.

Bibliographic Details
Main Authors: Atimad Harir, Said Melliani, Lalla Saadia Chadli
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2020/8836011
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spelling doaj-3004639aa7394fea840cc636c3c1543b2020-11-25T04:09:57ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/88360118836011Fuzzy Conformable Fractional Semigroups of 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, we introduce a fuzzy fractional semigroup of operators whose generator will be the fuzzy fractional derivative of the fuzzy semigroup at t=0. We establish some of their proprieties and some results about the solution of fuzzy fractional Cauchy problem.http://dx.doi.org/10.1155/2020/8836011
collection DOAJ
language English
format Article
sources DOAJ
author Atimad Harir
Said Melliani
Lalla Saadia Chadli
spellingShingle Atimad Harir
Said Melliani
Lalla Saadia Chadli
Fuzzy Conformable Fractional Semigroups of Operators
International Journal of Differential Equations
author_facet Atimad Harir
Said Melliani
Lalla Saadia Chadli
author_sort Atimad Harir
title Fuzzy Conformable Fractional Semigroups of Operators
title_short Fuzzy Conformable Fractional Semigroups of Operators
title_full Fuzzy Conformable Fractional Semigroups of Operators
title_fullStr Fuzzy Conformable Fractional Semigroups of Operators
title_full_unstemmed Fuzzy Conformable Fractional Semigroups of Operators
title_sort fuzzy conformable fractional semigroups of operators
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2020-01-01
description In this paper, we introduce a fuzzy fractional semigroup of operators whose generator will be the fuzzy fractional derivative of the fuzzy semigroup at t=0. We establish some of their proprieties and some results about the solution of fuzzy fractional Cauchy problem.
url http://dx.doi.org/10.1155/2020/8836011
work_keys_str_mv AT atimadharir fuzzyconformablefractionalsemigroupsofoperators
AT saidmelliani fuzzyconformablefractionalsemigroupsofoperators
AT lallasaadiachadli fuzzyconformablefractionalsemigroupsofoperators
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