Author/Authors :
Siah Mansouri, Samira Center of Poolad Peechkar - University of Applied Science and Technology, Varamin, Iran , Gachpazan, Morteza Department of Applied Mathematics - School of Mathematical Sciences - Ferdowsi University Of Mashhad, Mashhad, Iran , Ahmady, Nazanin Department of Mathematics - Islamic Azad University Varamin-Pishva Branch, Varamin, Iran , Ahmady, Elham Department of Mathematics - Islamic Azad University Shahr-e-Qods Branch, Tehran, Iran
Abstract :
Fuzzy delay differential equation driven by Liu’s process is a type of functional differential
equations. In this paper, we are going to provide and prove a novel existence and uniqueness theorem
for the solutions of fuzzy delay differential equation under Local Lipschitz and linear growth conditions.
Also the stability of the solutions for fuzzy delay differential is investigated. Finally, to illustrate the
main results we give some examples.