The existence and uniqueness of solution to the boundary value problems of fuzzy differential equation
by
Manocheher Kazemi
Islamic Azad University, Ashtian Branch, Iran
Coauthors: Hassan Naraghi and Hamid Mottaghi Golshan

In the paper, we prove existence of a solution for the nonlinear third-order boundary value problems of fuzzy differential equations. Consider boundary value problem

X"'(t)=f(t, X(t), X'(t), X"(t))

X(t1)=X1 , X(t2)=X2,             t1 , t2 ∈ J=[a, b]

where f ∈ C(J×Eⁿ×Eⁿ×Eⁿ, Eⁿ).
The technique used here Green's function and fixed points of fuzzy mappings.

Date received: January 6, 2010