EXISTENCE OF SOLUTIONS OF FUZZY CONTROL DIFFERENTIAL EQUATIONS

Abstract

Recently, the field of differential equations has been studying in a very abstract method. Instead of considering the behaviour of one solution of a differential equation, one studies its sheaf-solution (see[10-11]). Instead of studying a differential equation, one studies differential inclusion (see[9]). Especially, one studies fuzzy differential equation (a differential equation whose variables and derivative are fuzzy sets, see[1-7]).In this paper, a fuzzy differential equation is generalized to be fuzzy control differential equation (FCDE) and we present the existence and comparison of solutions of (FCDE). This paper is a continuation of our works in this direction (see (10-13]).