Variational Equations of Fuzzy Differential Equations and their Applications

Abstract

We introduce a parametric representation of fuzzy numbers with bounded supports as well as we consider a normed space including the set of fuzzy numbers, where the addition in the normed space is the same one due to the extension principle but the difference and scalar products are not the same as those of the principle. In this article we treat the Frechet differential in a Banach space of fuzzy numbers and we discuss variational equations of fuzzy differential equations in order to get improved results on the stability analysis of fuzzy differential equations.