Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem

被引：0

作者：

Ahmadkhanlu, Asghar ^{[1
]}

Jamshidzadeh, Shabnam ^{[1
]}

机构：

[1] Azerbaijan Shahid Madani Univ, Fac Basic Sci, Dept Math, Km 35 Tabriz Maragheh Rd, Tabriz, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 04期

关键词：

Hadamard fractional derivative; Boundary value problem; Integral boundary condition; CAPUTO;

D O I：

10.22034/cmde.2023.51601.2150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this paper is to study a kind of boundary value problem with an integral boundary condition including Hadamard-type fractional differential equations. To do this, upper and lower solutions are used to guarantee their existence, and Schauders fixed point theorem is used to prove the uniqueness of the positive solutions to this problem. An illustrated example is presented to explain the theorems that have been proved.

引用

页码：741 / 748

页数：8

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