Title of article :
Existence, uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions
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
Pages :
13
From page :
129
To page :
141
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.
Keywords :
Fuzzy delay differential equations , fuzzy Liu’s process , existence and uniqueness
Journal title :
Journal of Mathematical Modeling(JMM)
Serial Year :
2022
Record number :
2733243
Link To Document :
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