Existence of positive solutions of nonlinear fractional q-difference equation with parameter

被引：34

作者：

Li, Xinhui ^{[1
]}

Han, Zhenlai ^{[1
]}

Sun, Shurong ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

fractional q-difference equations; boundary value problems; fixed point theorem in cones; positive solutions; Q-INTEGRALS;

D O I：

10.1186/1687-1847-2013-260

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 class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem in cones, some positive solutions are obtained. As applications, some examples are presented to illustrate our main results.

引用

页数：13

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