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

共 50 条

[1] Existence and uniqueness of positive solutions for an integral boundary value problem
Yang, Zhilin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3910 - 3918
[2] Existence and uniqueness results to positive solutions of integral boundary value problem for fractional q-derivatives
Guo, Furi
Kang, Shugui
Chen, Fu
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[3] Existence and uniqueness results to positive solutions of integral boundary value problem for fractional q-derivatives
Furi Guo
Shugui Kang
Fu Chen
[J]. Advances in Difference Equations, 2018
[4] On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter
Ahmadkhanlu, Asghar
[J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (04): : 1001 - 1012
[5] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
Luo, Xiannan
Guo, Shancui
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (01) : 1 - 17
[6] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
Xiannan Luo
Shancui Guo
[J]. Qualitative Theory of Dynamical Systems, 2014, 13 : 1 - 17
[7] On The Existence of Positive Solutions for a Local Fractional Boundary Value Problem with an Integral Boundary Condition
Ahmadkhanlu, Asghar
[J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (03): : 53 - 66
[8] Nontrivial solutions for a Hadamard fractional integral boundary value problem
Zhang, Keyu
Sun, Qian
Xu, Jiafa
[J]. ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (03): : 2120 - 2136
[9] On existence and uniqueness of positive solutions for integral boundary boundary value problems
Mao, Jinxiu
Zhao, Zengqin
Xu, Naiwei
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (16) : 1 - 8
[10] The Existence and Uniqueness of Positive Solutions for Integral Boundary Value Problems
Mao, Jinxiu
Zhao, Zengqin
Xu, Naiwei
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2011, 34 (01) : 153 - 164

← 1 2 3 4 5 →