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Siah mansouri, Samira, Gachpazan, Morteza, Ahmady, Nazanin, Ahmady, Elham. (1400). Existence, uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 10(1), 129-141. doi: 10.22124/jmm.2021.19033.1630
Samira Siah mansouri; Morteza Gachpazan; Nazanin Ahmady; Elham Ahmady. "Existence, uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 1, 1400, 129-141. doi: 10.22124/jmm.2021.19033.1630
Siah mansouri, Samira, Gachpazan, Morteza, Ahmady, Nazanin, Ahmady, Elham. (1400). 'Existence, uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions', فیزیولوژی و بیوتکنولوژی آبزیان, 10(1), pp. 129-141. doi: 10.22124/jmm.2021.19033.1630
Siah mansouri, Samira, Gachpazan, Morteza, Ahmady, Nazanin, Ahmady, Elham. Existence, uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 1400; 10(1): 129-141. doi: 10.22124/jmm.2021.19033.1630

Existence, uniqueness and stability of fuzzy delay differential equations with local Lipschitz and linear growth conditions

Journal of Mathematical Modeling
دوره 10، شماره 1، فروردین 2022، صفحه 129-141    اصل مقاله (182.39 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2021.19033.1630
نویسندگان
Samira Siah mansouri1؛ Morteza Gachpazan2؛ Nazanin Ahmady* 3؛ Elham Ahmady4
1University of Applied Science and Technology, Center of Poolad Peechkar, Varamin, Iran
2Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University Of Mashhad, Mashhad, Iran
3Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran
4Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
Fuzzy delay differential equations؛ fuzzy Liu's process؛ existence and uniqueness
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