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
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.