Existence and uniqueness results to a fractional q-difference coupled system with integral boundary conditions via topological degree theory

This paper aims to highlight the existence and uniqueness results for a coupled system of nonlinear fractional q-difference subject to nonlinear more general four-point boundary conditions are treated. Our analysis relies on two approaches, the topological degree for condensing maps via a priori estimate method and the Banach contraction principle fixed point theorem. Finally, Two examples illustrating the effectiveness of the theoretical results are presented.