  Discrete fractional order chaotic systems extends the memory capability to
capture the discrete nature of physical systems. In this research, the
memristive discrete fractional order chaotic system is introduced. The dynamics
of the system was studied using bifurcation diagrams and phase space
construction. The system was found chaotic with fractional order
$0.465<n<0.562$. The dynamics of the system under different values makes it
useful as a switch. Controllers were developed for the tracking control of the
two systems to different trajectories. The effectiveness of the designed
controllers were confirmed using simulations
