Title : ( On the Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition )
Authors: Samira Siah Mansouri , Mortaza Gachpazan , Nazanin Ahmady , Elham Ahmady ,
Full TextAbstract
This paper seeks to investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu’s process. For this purpose , we prove a novel existence and uniqueness theorem for fuzzy differential equations under Local Lipschitz and monotone conditions. This result allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Liu’s process. To illustrate the main advantage of the approach some examples are finally given.
Keywords
, Fuzzy number, Fuzzy differential equation, Liu’s process, Credibility space.
@article{paperid:1089456,
author = {Samira Siah Mansouri and Gachpazan, Mortaza and Nazanin Ahmady and Elham Ahmady},
title = {On the Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition},
journal = {Journal of Mathematical Extension},
year = {2022},
volume = {16},
number = {5},
month = {May},
issn = {1735-8299},
pages = {1--17},
numpages = {16},
keywords = {Fuzzy number; Fuzzy differential equation; Liu’s process; Credibility space.},
}
%0 Journal Article
%T On the Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition
%A Samira Siah Mansouri
%A Gachpazan, Mortaza
%A Nazanin Ahmady
%A Elham Ahmady
%J Journal of Mathematical Extension
%@ 1735-8299
%D 2022
