  In this paper the chaos control in the discrete logistic map of fractional
order is obtained with an impulsive control algorithm. The underlying discrete
initial value problem of fractional order is considered in terms of Caputo
delta fractional difference. Every $\Delta$ steps, the state variable is
instantly modified with the same impulse value, chosen from a bifurcation
diagram versus impulse. It is shown that the solution of the impulsive control
is bounded. The numerical results are verified via time series, histograms, and
the 0-1 test. Several examples are considered
