Existence of generalized Hukuhara differentiable solutions to a class of first-order fuzzy differential equations in dual form

Abstract

This article deals with the problem of the existence of solution for a class of first-order fuzzy differential equations in dual form in the sense that the derivative of the unknown function appears on both sides of the equation. The problem is studied from the point of view of the generalized Hukuhara differentiability and sufficient conditions for the existence of a unique solution are provided, in details. Also, iterative sequences converging to the solutions are presented and applied to solve some numerical examples. Finally, a practical application of the results is brought.