The mathematical problem of controllability refers to the ability to steer the state of a dynamical control system from a given initial state to a desired final state using a control parameter. In recent years, fractional q-difference equations have attracted considerable attention due to their effectiveness in describing dynamical systems within the framework of q-calculus. The main focus of this talk is to discuss the controllability and Hyers-Ulam stability of an implicit coupled fractional q-difference system. The objective of the presentation is to present conditions for the existence and uniqueness of solutions, as well as the controllability and stability properties of the proposed system. For this purpose, tools from nonlinear functional analysis, fixed-point theory, and q-calculus are used. In particular, the contraction mapping principle is applied to obtain controllability results, while the Schauder fixed-point theorem is used to discuss the existence of solutions and the Hyers-Ulam stability of the system.