A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative

A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative

In this paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov’s direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illu...

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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:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/7488524
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spelling doaj-8c42008a9d5547179083a307240f79ed2021-09-27T00:51:42ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252021-01-01202110.1155/2021/7488524A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the 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 paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov’s direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illustrate the proposed stability result.http://dx.doi.org/10.1155/2021/7488524
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
A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
International Journal of Mathematics and Mathematical Sciences
author_facet Ali El Mfadel
Said Melliani
M’hamed Elomari
author_sort Ali El Mfadel
title A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
title_short A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
title_full A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
title_fullStr A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
title_full_unstemmed A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
title_sort note on the stability analysis of fuzzy nonlinear fractional differential equations involving the caputo fractional derivative
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 1687-0425
publishDate 2021-01-01
description In this paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov’s direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illustrate the proposed stability result.
url http://dx.doi.org/10.1155/2021/7488524
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AT mhamedelomari anoteonthestabilityanalysisoffuzzynonlinearfractionaldifferentialequationsinvolvingthecaputofractionalderivative
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