Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions

被引：68

作者：

Zhao, Yulin ^{[1
]}

Chen, Haibo ^{[2
]}

Zhang, Qiming ^{[1
]}

机构：

[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412007, Hunan, Peoples R China

[2] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

fractional q-difference equation; nonlocal boundary value problems; existence; positive solutions; POSITIVE SOLUTIONS;

D O I：

10.1186/1687-1847-2013-48

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii's fixed point theorem, some existence results of positive solutions are obtained. In addition, some examples to illustrate our results are given. MSC: 39A13, 34B18, 34A08.

引用

页数：15

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