Positive solutions for a singular coupled system of nonlinear higher-order fractional q-difference boundary value problems with two parameters

Abstract

In this paper, we are concern with the existence of positive solutions for a singular system of nonlinear fractional q -difference equations with coupled integral boundary conditions and two parameters. By using the properties of the Green’s function and Guo-Krasnosel’skii fixed point theorem, some existence results of at least one positive solution are obtained. As applications, two examples are presented to illustrate the main results. Mathematics subject classification (2010): 39A13, 34B18, 34A08.