  A time-changed mixed fractional Brownian motion is an iterated process
constructed as the superposition of mixed fractional Brownian motion and other
process. In this paper we consider mixed fractional Brownian motion of
parameters a, b and H\in(0, 1) time-changed by two processes, gamma and
tempered stable subordinators. We present their main properties paying main
attention to the long range dependence. We deduce that the fractional Brownian
motion time-changed by gamma and tempered stable subordinators has long range
dependence property for all H\in(0, 1).
