POSITIVE SOLUTIONS FOR A NEW SYSTEM OF HADAMARD FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS ON AN INFINITE INTERVAL

被引：1

作者：

Zhai, Chengbo ^{[1
,2
]}

Bai, Liting ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math & Stat, Taiyuan 030006, Peoples R China

[2] Shanxi Univ, Key Lab Complex Syst & Data Sci, Minist Educ, Taiyuan 030006, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2024年 / 2024卷

关键词：

Hadamard fractional derivative; Infinite interval; Integro-differential equation; Multi-point boundary conditions;

D O I：

10.23952/jnfa.2024.27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a new system of Hadamard fractional integro-differential equations, supplemented with multi-point boundary conditions which involve finite order Hadamard fractional derivatives on an infinite interval. By applying a fixed point theorem in ordered Banach spaces, the existence and uniqueness of positive solutions for this system are obtained. Moreover, we give convergent sequences to approximate the unique solution. In addition, an interesting example is provided to illustrate our main result.

引用

页数：14

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