M. Otadi - Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran
S. Abbasbandy - Department of Mathematics, Faculty of Science, Imam Khomeini International University, Ghazvin, ۳۴۱۴۹-۱۶۸۱۸, Iran
M. Mosleh - Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran

In this paper, we discuss the solution of a system of linear fuzzy differential equations,Ax(t)+Bx(0)=X0 where A and B are real n× n matrix and the initial condition x 0 is described by a vector made up of n fuzzy numbers. In this paper, we investigated a necessary and sufficient condition for the existence derivative x(t) of a fuzzy process x(t).

Fuzzy number, Linear fuzzy differential equations, Fuzzy system