Abstract: By using the fixed point theorem of power contraction mapping, we discuss the existence and uniqueness of two kinds of fuzzy solutions for boundary value problems of second order delay fuzzy differential equations under the framework of generalized Hukuhara derivatives, and the existence and uniqueness of two kinds of fuzzy solutions of the problem are proved without limiting the Lipschitz condition coefficients of the nonlinear function.

Key words: delay differential equation, fuzzy differential equation, fixed point theorem of power contraction mapping