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

Jing Ren; Chengbo Zhai

Vol. 24 No. 2 (2019)

Regular Articles

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

Published 2019-07-23

Jing Ren
Chengbo Zhai

Jing Ren
Shanxi University

Chengbo Zhai
Shanxi University

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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.

Keywords

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

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