Finite-time stability for fuzzy fractional delay differential equations with generalized Caputo derivatives
Abstract
This work is devoted to the analysis of fuzzy fractional delay differential equations (FDDEs) governed by the generalized Caputo fractional derivative (GCFD). By combining stepwise approximation methods with suitable Gronwall-type inequalities, we establish the existence and uniqueness of solutions. Furthermore, we derive explicit criteria that guarantee the finite-time stability. The theoretical contributions are illustrated with numerical simulations, confirm the analytical findings and demonstrate the effectiveness of the proposed framework in capturing the dynamical behavior of fuzzy fractional delay models. For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2026/07/abstr.html
Fields of Study & Subjects
Fuzzy Systems and Optimization
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Electronic Journal of Differential Equations
- Volume
- 2026
- Issue
- 01-??
- Pages
- 07–07
- Publication date
- 19 January 2026
- Language
- EN