Characteristic of unique positive solution for a fractional q-difference equation with multistrip boundary conditions

Abstract

We study a new fractional $q$-difference equation $m$-point boundary value problem supplemented with Riemann-Stieltjes integral, while the nonlinear terms are increasing. Using a fixed point theorem in cones, good characteristic of unique positive solution dependent on the parameter $\lambda>0$ are established. An example demonstrating the main results is presented.