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

Jing Ren, Chengbo Zhai


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.


fractional $q$-difference equations; existence and uniqueness; multistrip boundary conditions

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ISSN: 1331-0623 (Print), 1848-8013 (Online)