On the existence of solutions for nonlocal sequential boundary fractional differential equations via ψ-Riemann-Liouville derivative

被引：2

作者：

Haddouchi, Faouzi ^{[1
,2
]}

Samei, Mohammad Esmael ^{[3
]}

机构：

[1] Univ Sci & Technol Oran MB, Dept Phys, Oran, Algeria

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria

[3] Bu Ali Sina Univ, Fac Sci, Dept Math, Hamadan, Iran

来源：

BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期

关键词：

Sequential psi-Riemann-Liouville fractional differential equation; Nonlinear differential systems; Existence and uniqueness; Lyapunov-type inequality; Banach's contraction principle; Schauder's fixed point theorem; Perov's fixed point theorem; POSITIVE SOLUTIONS; RESPECT;

D O I：

10.1186/s13661-024-01890-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study a generalized Riemann-Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented and then Lyapunov-type inequalities for a sequential psi-Riemann-Liouville fractional boundary value problem are established. Also, the existence and uniqueness of solutions are proved by using Banach and Schauder fixed-point theorems. Furthermore, the existence and uniqueness of solutions to a sequential nonlinear differential system is established by means of Schauder's and Perov's fixed-point theorems. Examples are given to validate the theoretical results.

引用

页数：26

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