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In this paper, by means of properties of a differential and integral calculus for fuzzy set valued mappings and completeness of metric space of fuzzy numbers, we obtained some existence theorems under the compactness-type conditions on a closed subset of fuzzy number space (E<sup>n</sup>, D) to fuzzy differential equations.
In this paper we consider the relations between a solution and its approximate solutions to fuzzy differential equations using the strongly generalized differentiability.