Abstract: Fuzzy differential equations are commonly used to describe the changing process with uncertain conditions. And its theory is widely applied to many different practical problems. The aim of this paper is to study the existence of solutions for semilinear delay fuzzy differential equations. We use a fixed point theorem of weakly contractive mappings to transform the existence of solutions into the existence of fixed points of an operator, and establish the theorem of existence of solutions for the equations. In addition, an example is given to illustrate the applicability of the theoretical results.

Key words: weakly contractive mappings, delay differential equations, fuzzy differential equations