  We study continuous time random walks (CTRW) with power law distribution of
waiting times under resetting which brings the walker back to the origin, with
a power-law distribution of times between the resetting events. Two situations
are considered. Under complete resetting, the CTRW after the resetting event
starts anew, with a new waiting time, independent of the prehistory. Under
incomplete resetting, the resetting of the coordinate does not influence the
waiting time until the next jump. We focus on the behavior of the mean squared
displacement (MSD) of the walker from its initial position, on the conditions
under which the probability density functions of the walker's displacement show
universal behavior, and on this universal behavior itself. We show, that the
behavior of the MSD is the same as in the scaled Brownian motion (SBM), being
the mean field model of the CTRW. The intermediate asymptotics of the
probability density functions (PDF) for CTRW under complete resetting (provided
they exist) are also the same as in the corresponding case for SBM. For
incomplete resetting, however, the behavior of the PDF for CTRW and SBM is
vastly different.
