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Mathematical Communications, Vol. 24 No. 2, 2019.

Original scientific paper

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

Jing Ren ; School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, P. R. China
Chengbo Zhai ; School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, P. R. China

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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

Hrčak ID:

227062

URI

https://hrcak.srce.hr/227062

Publication date:

25.10.2019.

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