Existence and finite-time stability results of a class of nonlinear Hilfer fuzzy fractional differential equations with time-delays

Abstract

In the current paper, we mainly investigate a novel class of nonlinear Hilfer fuzzy fractional differential equations (NHFFDEs) with time-delays. Firstly, using Laplace transform, we convert the system under consideration into an analogous integral system. Secondly, using Schauder's and Banach's fixed point theorems, the existence and uniqueness results of solutions for NHFFDEs are then established. Additionally, we explore the finite-time stability result of solution for the system under consideration.