  In this paper we introduce the fractional-order variant of a Gompertz-like
discrete system. The chaotic behavior is suppressed with an impulsive control
algorithm. The numerical integration and the Lyapunov exponent are obtained by
means of the discrete fractional calculus. To verify numerically the obtained
results, beside the Lyapunov exponent, the tools offered by the 0-1 test are
used.
