Rotational periodic boundary value problem for a fractional nonlinear differential equation

被引：2

作者：

Cheng, Yi ^{[1
]}

Gao, Shanshan ^{[2
]}

Agarwal, Ravi P. ^{[3
,4
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China

[2] Liaoning Inst Sci & Engn, Dept Informat Engn, Jinzhou, Peoples R China

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

[4] Florida Inst Technol, Dept Appl Math, Melbourne, FL USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 13期

关键词：

boundary value problem; fractional differential equations; nonlinear differential inclusion; rotational periodic; SYSTEMS;

D O I：

10.1002/mma.6860

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to study the rotational periodic boundary value problem for a fractional-order nonlinear differential equation. Applying topology-degree theory and the Leray-Schauder fixed-point theorem, we prove the existence and uniqueness of solution for the fractional-order differential system. Furthermore, the existence of solution for a nonlinear differential system with a multivalued perturbation term is investigated by using set-valued theory and techniques of functional analysis. Two examples of applications are given at the end.

引用

页码：11120 / 11134

页数：15

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