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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Veröffentlicht in:International journal of mathematics and mathematical sciences 2021-09, Vol.2021, p.1-6
Hauptverfasser: El Mfadel, Ali, Melliani, Said, Elomari, M’hamed
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Calculus
Differential equations
Equilibrium
Fuzzy sets
Laplace transforms
Mathematical analysis
Mathematical functions
Stability analysis
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Beschreibung
Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/2021/7488524