Samira Siahmansouri - Sama technical and vocational training college, Islamic Azad University, Varamin Branch, Varamin, Iran
Omid Solimani Fard - Department of Mathematics, Ferdowsi University Of Mashhad, Mashhad Iran

The main purpose of this paper is to investigate to fuzzy differential equation (FDE) is a type of differential equation driven by Liu process. We provide and prove a new existence and uniqueness theorem for fuzzy differential equations under Lipschitz condition and monotone condition. Then examples are given to show which are satisfied with the monotone condition without the linear growth condition.

Fuzzy number, Fuzzy differential equation, liu process, credibility space. Stability