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

Advances in Difference Equations

Xinhui Li¹  Zhenlai Han¹  Shurong Sun¹ 

[1] School of Mathematical Sciences, University of Jinan, Jinan, Shandong, China

关键词: fractional q-difference equations;    boundary value problems;    fixed point theorem in cones;    positive solutions;   

DOI  :  10.1186/1687-1847-2013-260

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:39A13, 34B18, 34A08.

【 授权许可】

CC BY