Unique iterative solution for high-order nonlinear fractional q-difference equation based on ψ − ( h , r ) $\psi -(h,r)$ -concave operators
Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of ψ − ( h , r ) $\psi -(h,r)$ -concave operator...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2023-04-01
|
Series: | Boundary Value Problems |
Subjects: | |
Online Access: | https://doi.org/10.1186/s13661-023-01718-1 |
Summary: | Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of ψ − ( h , r ) $\psi -(h,r)$ -concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. |
---|---|
ISSN: | 1687-2770 |