Positive solutions of Riemann-Stieltjes integral boundary problems for the nonlinear coupling system involving fractional-order differential

被引：18

作者：

Zhao, Kaihong ^{[1
]}

Gong, Ping ^{[1
]}

机构：

[1] Kunming Univ Sci & Technol, Dept Appl Math, Kunming 650093, Yunnan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

coupling fractional differential system; positive solutions; Riemann-Stieltjes integral BVPs; fixed point theorem; EQUATIONS;

D O I：

10.1186/1687-1847-2014-254

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study Riemann-Stieltjes integral boundary value problems of nonlinear fractional functional differential coupling system involving higher-order Caputo fractional derivatives. Some sufficient criteria are obtained for the existence, multiplicity, and nonexistence of positive solutions by applying fixed-point theorems on a convex cone. As applications, some examples are provided to illustrate our main results.

引用

页数：18

共 50 条

[1] Positive solutions of Riemann-Stieltjes integral boundary problems for the nonlinear coupling system involving fractional-order differential
Kaihong Zhao
Ping Gong
Advances in Difference Equations, 2014
[2] Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition
Song, Qilin
Bai, Zhanbing
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[3] Positive solutions of singular fractional order differential system with Riemann-Stieltjes integral boundary condition
Tan, Jingjing
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[4] Positive solutions of singular fractional order differential system with Riemann-Stieltjes integral boundary condition
Jingjing Tan
Advances in Difference Equations, 2016
[5] Positive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann-Stieltjes Integrals
Jiang, Jiqiang
Liu, Lishan
Wu, Yonghong
ABSTRACT AND APPLIED ANALYSIS, 2012,
[6] The Positive Solutions of Fractional Differential Equation with Riemann-Stieltjes Integral Boundary Conditions
Zhang, Xiaohan
Liu, Xiping
Jia, Mei
Chen, Haoliang
FILOMAT, 2018, 32 (07) : 2383 - 2394
[7] Multiple Positive Solutions to Singular Fractional Differential System with Riemann-Stieltjes Integral Boundary Condition
ZHANG HAI-YAN
LI YAO-HONG
Communications in Mathematical Research, 2019, 35 (03) : 208 - 218
[8] Positive solutions of nonlocal fractional boundary value problem involving Riemann-Stieltjes integral condition
Haddouchi, Faouzi
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 64 (1-2) : 487 - 502
[9] POSITIVE SOLUTION FOR A FRACTIONAL SWITCHED SYSTEM INVOLVING RIEMANN-STIELTJES INTEGRAL
Yang, Yang
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (03): : 57 - 68
[10] POSITIVE SOLUTION FOR A FRACTIONAL SWITCHED SYSTEM INVOLVING RIEMANN-STIELTJES INTEGRAL
Yang, Yang
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (03): : 57 - 68

← 1 2 3 4 5 →