POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

被引：11
|
作者：
Xie, Shengli [1 ]
Xie, Yiming [2 ]
机构：
[1] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China
[2] Anhui Jianzhu Univ, Sch Civil Engn, Hefei 230601, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2016年 / 6卷 / 04期
关键词：
Higher-order nonlinear fractional differential equations; positive solution; cone; fixed point index; COUPLED SYSTEM; EQUATIONS;
D O I：
10.11948/201601
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the existence and multiplicity of positive solutions for a system of higher-order nonlinear fractional differential equations with nonlocal boundary conditions. The main tool used in the proof is fixed point index theory in cone. Some limit type conditions for ensuring the existence of positive solutions are given.
引用
收藏
页码：1211 / 1227
页数：17
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