Existence and uniqueness of a fuzzy solution for the nonlinear fuzzy neutral functional differential equation

This work is concerned with a class of nonlinear fuzzy neutral functional differential equations. Specifically, existence and uniqueness of fuzzy solutions for the nonlinear fuzzy neutral functional differential equation d/dt[x(t) - f(t, x(t))] = Ax(t) + g(t, x(t)), where A is a fuzzy coefficient and f and g are continuous functions, axe established via Banach fixed-point analysis approach and using the fuzzy number whose values are normal, convex upper semicontinuous, and compactly supported interval in E-N. (C) 2001 Elsevier Science Ltd. All rights reserved.