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

被引：2

作者：

Gunasekar, Tharmalingam ^{[1
,2
]}

Thiravidarani, Jothivelu ^{[1
]}

Mahdal, Miroslav ^{[3
]}

Raghavendran, Prabakaran ^{[1
]}

Venkatesan, Arikrishnan ^{[1
]}

Elangovan, Muniyandy ^{[4
,5
]}

机构：

[1] Vel Tech Rangarajan Dr Sagunthala R&D Inst Sci & T, Dept Math, Chennai 600062, India

[2] Indian Inst Technol IIT, Sch Artificial Intelligence & Data Sci, Jodhpur 342030, India

[3] VSB Tech Univ Ostrava, Fac Mech Engn, Dept Control Syst & Instrumentat, 17 Listopadu 2172-15, Ostrava 70800, Czech Republic

[4] Saveetha Sch Engn, Dept Biosci, Saveetha Nagar, Thandalam 602105, India

[5] Bond Marine Consultancy, Dept R&D, London EC1V2NX, England

来源：

MATHEMATICS | 2023年 / 11卷 / 17期

关键词：

neutral functional differential equation; contraction mapping fixed point; fuzzy solution; non-local conditions; EXISTENCE; INCLUSIONS; SELECTION;

D O I：

10.3390/math11173734

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：16

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