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.
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收藏
页数：18
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