Journal of Mathematical Modeling, Volume (10), No (1), Year (2022-1) , Pages (129-141)

Title : ( Existence uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions )

Authors: Samira Siah Mansouri , Mortaza Gachpazan , Nazanin Ahmady , Elham Ahmady ,

Citation: BibTeX | EndNote

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
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@article{paperid:1089448,
author = {Samira Siah Mansouri and Gachpazan, Mortaza and Nazanin Ahmady and Elham Ahmady},
title = {Existence uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions},
journal = {Journal of Mathematical Modeling},
year = {2022},
volume = {10},
number = {1},
month = {January},
issn = {2345-394X},
pages = {129--141},
numpages = {12},
keywords = {Fuzzy delay differential equations; fuzzy Liu’s process; existence and uniqueness},
}

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%0 Journal Article
%T Existence uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions
%A Samira Siah Mansouri
%A Gachpazan, Mortaza
%A Nazanin Ahmady
%A Elham Ahmady
%J Journal of Mathematical Modeling
%@ 2345-394X
%D 2022

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