Title : ( EXISTENCE, UNIQUENESS AND STABILITY OF FUZZY DELAY DIFFERENTIAL EQUATIONS WITH LOCAL LIPSCHITZ AND LINEAR GROWTH CONDITIONS )
Authors: samira siah mansouri , Mortaza Gachpazan ,Abstract
Liu introduced credibility theory and presented for the first time the concept of credibility measure to facilitate measuring of fuzzy events [1]. It is worthy to note that this measure is a powerful tool for dealing with fuzzy phenomena and is based on normality, monotonicity, self-duality, and maximality axioms. The main goal of this paper is to provide some weaker conditions to study the existence and uniqueness of solution to the fuzzy delay differential equations. To this end, we prove a new existence and uniqueness theorem under the Local Lipschitz and Linear growth conditions. we will study the stability.
Keywords
, Lipschitz and Linear growth conditions, Liu.@inproceedings{paperid:1066906,
author = {Siah Mansouri, Samira and Gachpazan, Mortaza},
title = {EXISTENCE, UNIQUENESS AND STABILITY OF FUZZY DELAY DIFFERENTIAL EQUATIONS WITH LOCAL LIPSCHITZ AND LINEAR GROWTH CONDITIONS},
booktitle = {International Conference on Mathematics of Fuzziness},
year = {2016},
location = {زنجان, IRAN},
keywords = {Lipschitz and Linear growth conditions; Liu.},
}
%0 Conference Proceedings
%T EXISTENCE, UNIQUENESS AND STABILITY OF FUZZY DELAY DIFFERENTIAL EQUATIONS WITH LOCAL LIPSCHITZ AND LINEAR GROWTH CONDITIONS
%A Siah Mansouri, Samira
%A Gachpazan, Mortaza
%J International Conference on Mathematics of Fuzziness
%D 2016