On ν-Level Interval of Fuzzy Set for Fractional Order Neutral Impulsive Stochastic Differential System

Autor:	Manjitha Mani Shalini, Nazek Alessa, Banupriya Kandasamy, Karuppusamy Loganathan, Maheswari Rangasamy
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fuzzy stochastic differential equation fuzzy Itô process neutral impulsive system Caputo fractional derivative Banach fixed-point theorem Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 9, p 1990 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11091990
Popis:	The main concern of this paper is to investigate the existence and uniqueness of a fuzzy neutral impulsive stochastic differential system with Caputo fractional order driven by fuzzy Brownian motion using fuzzy numbers with bounded ν-level intervals that are convex, normal and upper-semicontinuous. Fuzzy Itô process, Grönwall’s inequality and the Banach fixed-point theorem are employed to probe the local and global existence. An analytical example is provided to examine the theoretical results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/59114e2cc7524301b2a3cebb7fd3b010 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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