A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
Open Access
- 13 September 2021
- journal article
- research article
- Published by Hindawi Limited in International Journal of Mathematics and Mathematical Sciences
- Vol. 2021, 1-6
- https://doi.org/10.1155/2021/7488524
Abstract
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.Keywords
This publication has 18 references indexed in Scilit:
- Global solutions for nonlinear fuzzy fractional integral and integrodifferential equationsCommunications in Nonlinear Science and Numerical Simulation, 2013
- Fractional equations and generalizations of Schaefer’s and Krasnoselskii’s fixed point theoremsNonlinear Analysis, 2012
- Existence and uniqueness results for fractional differential equations with uncertaintyAdvances in Difference Equations, 2012
- Solving fuzzy fractional differential equations by fuzzy Laplace transformsCommunications in Nonlinear Science and Numerical Simulation, 2012
- On the fractional differential equations with uncertaintyNonlinear Analysis, 2011
- On the concept of solution for fractional differential equations with uncertaintyNonlinear Analysis, 2010
- Fuzzy differential equationsFuzzy Sets and Systems, 1987
- Differentials of fuzzy functionsJournal of Mathematical Analysis and Applications, 1983
- A note on the extension principle for fuzzy setsJournal of Mathematical Analysis and Applications, 1978
- Fuzzy setsInformation and Control, 1965