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

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