International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 2, Pages 271-279

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

Copyright © 1999 Jong Yeoul Park and Hyo Keun Han. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.