Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators

Abstract An objective of this paper is to investigate the boundary value problem a high-order nonlinear fractional q -difference equation. It was obtain unique iterative solution for by means applying novel fixed-point theorem $\psi -(h,r)$ ψ − ( h , r ) -concave operator, in which operator increasing and defined ordered sets. Moreover, we construct monotone explicit scheme approximate solution. Finally, give an example illustrate use main result.