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
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