Study of Non-Linear Impulsive Neutral Fuzzy Delay Differential Equations with Non-Local Conditions

Autor:	Tharmalingam Gunasekar, Jothivelu Thiravidarani, Miroslav Mahdal, Prabakaran Raghavendran, Arikrishnan Venkatesan, Muniyandy Elangovan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	neutral functional differential equation contraction mapping fixed point fuzzy solution non-local conditions Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 17, p 3734 (2023)
Druh dokumentu:	article
ISSN:	11173734 2227-7390
DOI:	10.3390/math11173734
Popis:	This manuscript aims to investigate the existence and uniqueness of fuzzy mild solutions for non-local impulsive neutral functional differential equations of both first and second order, incorporating finite delay. Furthermore, the study explores the properties of fuzzy set-valued mappings of a real variable, where these mappings exhibit characteristics such as normality, convexity, upper semi-continuity, and compact support. The application of the Banach fixed-point theorem is employed to derive the results. The research extensively employs fundamental concepts from fuzzy set theory, functional analysis, and the Hausdorff metric. Additionally, an illustrative example is provided to exemplify the practical implementation of the proposed concept.
Databáze:	Directory of Open Access Journals
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