Exploring existence, uniqueness, and stability in nonlinear fractional boundary value problems with three-point boundary conditions

被引：1

作者：

Poovarasan, R. ^{[1
]}

Abdeljawad, Thabet ^{[2
,3
,4
]}

Govindaraj, V ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Karaikal 609609, Pondicherry, India

[2] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[4] Sefako Makgatho Hlth Sci Univ, Sch Sci & Technol, Dept Math & Appl Math, ZA-0204 Garankuwa, Medusa, South Africa

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 08期

关键词：

Psi-Caputo derivative; three point boundary condition; Ulam-Hyers stability; fractional boundary value problem; CAPUTO; RESPECT;

D O I：

10.1088/1402-4896/ad6243

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This study investigates the analysis of the existence, uniqueness, and stability of solutions for a Psi-Caputo three-point nonlinear fractional boundary value problem using the Banach contraction principle and Sadovskii's fixed point theorem. We demonstrate the practical implications of our analytical advancements for each situation, illustrating how the components of the fractional boundary value problem emerge in real-life occurrences. Our work significantly enhances the field of applied mathematics by offering analytical solutions and valuable insights.

引用

页数：15

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