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

Abstract

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. © 2013 Li et al.; licensee Springer.