Existence and Uniqueness of Solutions for Fuzzy Boundary Value Problems Under Granular Differentiability

被引：1

作者：

Soma, Nagalakshmi ^{[1
]}

Kumar, Grande Suresh ^{[1
]}

Agarwal, Ravi Prakash ^{[2
]}

Wang, Chao ^{[3
]}

Murty, Madhunapantula Surya Narayana ^{[4
]}

机构：

[1] Koneru Lakshmaiah Educ Fdn, Dept Math, Guntur 522302, India

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[4] Acharya Nagarjuna Univ, Dept Math, Guntur 521201, India

来源：

FUZZY INFORMATION AND ENGINEERING | 2023年 / 15卷 / 03期

关键词：

granular differentiability; horizontal membership function; contraction mapping; fuzzy boundary value problem; EQUATIONS;

D O I：

10.26599/FIE.2023.9270021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers fuzzy boundary value problems associated with second-order fuzzy differential equations under granular differentiability. Using a horizontal membership function, we present the notion of second-order granular differentiability for fuzzy functions. Using the granular differentiability concept, we interpret two kinds of two-point boundary value problems for second-order fuzzy differential equations. Sufficient conditions are established for the existence and uniqueness of solutions to these fuzzy boundary value problems. An algorithm is presented for solving non-linear fuzzy boundary value problems under granular differentiability. We provide one example and two engineering applications to demonstrate the algorithm's effectiveness and results.

引用

页码：291 / 312

页数：22

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