Title of article
On the Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition
Author/Authors
Siah Mansori, Samira University of Applied Science and Technology Center of Poolad Peechkar, Varamin, , Gachpazan, Morteza Ferdowsi University Of Mashhad , Mashhad , Ahmady, Nazanin Islamic Azad University Varamin-Pishva Branch, Varamin , Ahmady, Elham Islamic Azad University Shahr-e-Qods Branch, Tehran
Pages
17
From page
1
To page
17
Abstract
This paper seeks to investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu's process. To this end, we provide andprove 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
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2022
Record number
2702334
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