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
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
Publication date:
25.10.2019.
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