Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

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

Hrčak ID:

227062

URI

https://hrcak.srce.hr/227062

Datum izdavanja:

25.10.2019.

Posjeta: 563 *