Boundary value problems for fractional q-difference equations with nonlocal conditions

被引：6

作者：

Li, Xinhui ^{[1
]}

Han, Zhenlai ^{[1
]}

Sun, Shurong ^{[1
]}

Lu, Hongling ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

fractional q-difference equations; boundary value problems; existence of solutions; POSITIVE SOLUTIONS; Q-INTEGRALS; EXISTENCE; ORDER;

D O I：

10.1186/1687-1847-2014-57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fractional q-derivative of Caputo type. By means of Bananch's contraction mapping principle and Schaefer's fixed-point theorem, some existence results for the solutions are obtained. Finally, examples are presented to illustrate our main results.

引用

页数：16

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