The existence and uniqueness of the solution for uncertain functional differential equations

Subject Areas : Applied Mathematics

Nazanin Ahmadi ¹ , Samira Siahmansouri ²

1 - University of Applied Science and Technology, Center of Poolad Peechkar, Varamin, Iran
2 - University of Applied Science and Technology, Center of Poolad Peechkar, Varamin, Iran

Received: 2020-11-22 Accepted : 2021-02-13 Published : 2020-12-01

Keywords: Canonical process, Uncertain Functional differential equation, Uncertainty space condition,

Abstract :

The uncertain functional differential equations are animportant tool to deal with dynamic systems including thepast states in uncertain environments. The contribution ofthis paper to the uncertain functional differential equationtheory is to provide an existence and uniqueness theoremunder the weak Lipschitz condition and the linear growthcondition.