Positive solutions for singular coupled integral boundary value problems of nonlinear higher-order fractional q -difference equations

Advances in Difference Equations

Wengui Yang¹  Qingbo Zhao¹ 

[1] Ministry of Public Education, Sanmenxia Polytechnic, Sanmenxia, China

关键词: fractional q-difference systems;    coupled integral boundary conditions;    positive solution;    Green’s function;    fixed point theorems;    34A08;    34A12;    34B15;   

DOI  :  10.1186/s13662-015-0615-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the positive solutions for the singular coupled integral boundary value problem of nonlinear higher-order fractional q-difference equations. By applying a mixed monotone method and Guo-Krasnoselskii fixed point theorem, sufficient conditions for the existence and uniqueness results of the problem are established. An interesting example is presented to illustrate the main results.

【 授权许可】

CC BY