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International Journal of Mathematics and Mathematical Sciences 
Volume 22 (1999), Issue 2, Pages 271-279
doi:10.1155/S0161171299222715

Existence and uniqueness theorem for a solution of fuzzy differential equations

Jong Yeoul Park and Hyo Keun Han

Department of Mathematics, Pusan National University, Pusan 609–735, Korea

Received 10 June 1996

Abstract

By using the method of successive approximation, we prove the existence and uniqueness of a solution of the fuzzy differential equation x′(t)=f(t,x(t)),x(t0)=x0. We also consider an ϵ-approximate solution of the above fuzzy differential equation.