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