Existence, uniqueness, and multiplicity results on positive solutions for a class of Hadamard-type fractional boundary value problem on an infinite interval

被引：19

作者：

Zhang, Wei ^{[1
]}

Liu, Wenbin ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 05期

关键词：

existence; fractional differential equation; Hadamard fractional derivative; infinite interval; nonlocal boundary condition; positive solution; uniqueness and multiplicity; DIFFERENTIAL-EQUATIONS; COUPLED SYSTEM;

D O I：

10.1002/mma.6038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on a class of Hadamard-type fractional differential equation with nonlocal boundary conditions on an infinite interval. New existence, uniqueness, and multiplicity results of positive solutions are obtained by using Schauder's fixed point theorem, Banach's contraction mapping principle, the monotone iterativemethod, and the Avery-Peterson fixed point theorem. Examples are included to illustrate our main results.

引用

页码：2251 / 2275

页数：25

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