On retarded fuzzy functional differential equations and nonabsolute fuzzy integrals

We prove a generalized convergence theorem for fuzzy Henstock integrals based on the sequence of fuzzy-number-valued functions which are weak generalized uniformly absolute continuous (U AC G**). To widen the applications of this convergence theorem, we provide some existence theorems for the generalized solution for retarded fuzzy functional differential equations and the dependence of the solutions on a parameter under the assumption of the strong generalized derivative of the solution. Our results generalize existence results in a Kaleva integral setting to a fuzzy Henstock integral setting. (C) 2019 Elsevier B.V. All rights reserved.