  We investigate the effects of markovian resseting events on continuous time
random walks where the waiting times and the jump lengths are random variables
distributed according to power law probability density functions. We prove the
existence of a non-equilibrium stationary state and finite mean first arrival
time. However, the existence of an optimum reset rate is conditioned to a
specific relationship between the exponents of both power law tails. We also
investigate the search efficiency by finding the optimal random walk which
minimizes the mean first arrival time in terms of the reset rate, the distance
of the initial position to the target and the characteristic transport
exponents.
