This chapter examines the dynamics of a novel three-dimensional fractional memristive map. We examine the actions in both commensurate and incommensurate orders, demonstrating how they affect dynamics through phase pictures, bifurcation charts, and the largest Lyapunov exponent (LLE). Using the approximation entropy ApEn and \(C_{0}\) complexity, we also evaluate the complexity and validate the chaotic features in the map. Research indicates that three-dimensional fractional memristive maps, with commensurate and incommensurate derivative values, affect them. This map displays a range of dynamical behaviors, including symmetry, asymmetry, and hidden attractors. The numerical results of this study are obtained using MATLAB simulation.