On Fuzzy Solution For Exact Second Order Fuzzy Differential Equation

In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized hukuhara di erentiability is obtained. first the solution of rst order linear fuzzy di erential equation under generalized hukuhara di erentiability is investigated using integration factor methods in two cases. the second based on the type of generalized hukuhara di erentiability, the analytical solution of an exact second order fuzzy initial value problem is derived in two senses of di erentiability. also, several properties for generalized hukuhara di erentiability are obtained on the topics, such as, the univariate fuzzy chain rules, fuzzy integration by parts, among others. at the end, some illustrative examples are presented and these examples show the behavior of the solutions.