Positive solutions for multipoint boundary value problem of fractional differential equation with parameter

被引：0

作者：

Liu, Zhi ^{[1
]}

Wang, Weibing ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Peoples R China

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2025年 / 41卷 / 02期

关键词：

fractional differential equation; boundary value problem; Green's function; positive solution; fixed point theorem; ORDER; EXISTENCE;

D O I：

10.37193/CJM.2025.02.11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence of positive solutions for a fractional multipoint boundary value problem with parameter. By applying the Guo-Krasnosel'skii fixed point theorem and Schauder's fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions. Our main results highlight the influence of the parameter in different ranges on the existence of positive solutions.

引用

页码：441 / 453

页数：13

共 50 条

[1] Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations
Zhong, Wenyong
ABSTRACT AND APPLIED ANALYSIS, 2010,
[2] Positive solutions for multipoint boundary value problem of fractional differential equations
Tian, Yuansheng
Zhou, Yong
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 38 (1-2) : 417 - 427
[3] Positive solutions for multipoint boundary value problem of fractional differential equations
Yuansheng Tian
Yong Zhou
Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 417 - 427
[4] Positive solutions for boundary value problem of Nonlinear fractional differential equation
El-Shahed, Moustafa
ABSTRACT AND APPLIED ANALYSIS, 2007,
[5] POSITIVE SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEM
Sun, Yan
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (04): : 369 - 389
[6] POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION
Limei Song School of Math.
Annals of Applied Mathematics, 2012, (03) : 320 - 326
[7] Positive solutions for boundary value problem of nonlinear fractional differential equation
Bai, ZB
Lü, HS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) : 495 - 505
[8] Positive solutions of a boundary value problem for a nonlinear fractional differential equation
Kaufmann, Eric R.
Mboumi, Ebene
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2008, (03) : 1 - 11
[9] POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION
Limei Song School of MathJiaying UniversityMeizhou Guangdong
Annals of Differential Equations, 2012, 28 (03) : 320 - 326
[10] EXISTENCE OF TRIPLE POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION DEPENDING ON A PARAMETER
Shugui Kang 1
2.Dept.of Math.
Annals of Differential Equations, 2012, 28 (04) : 396 - 403

← 1 2 3 4 5 →