The Properties of Fuzzy Solution for the Fuzzy RetardedIntegro-differential Equation

2004 
In this paper, the work is concerned with a class of fuzzy retarded integro-differential equations. Specifically, existence, uniqueness and continuous dependence of fuzzy solutions for the fuzzy retarded integro-differential equation u·(t)=∫~t_0g(t,s,u(s))ds+f(t,x_t), where E~n is the set of all upper semi-continuous convex normal fuzzy numbers with bounded α-level set, f,g is continuous functions, are establish via Banach fixed-point theorem and the property of metric space of fuzzy set.
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