  In this paper we investigate the vacuum polarization effects associated with
quantum fermionic charged fields in a generalized $(d+1)-$dimensional cosmic
string space-times considering the presence of a magnetic flux along the
string. In order to develop this analysis we calculate a general expression for
the respective Green function, valid for several different values of $d$, which
is expressed in terms of a bispinor associated with the square of the Dirac
operator. Adopting this result, we explicitly calculate the renormalized vacuum
expectation values of the energy-momentum tensors, $<T^A_B>_{Ren.}$, associated
with massless fields. Moreover, for specific values of the parameters which
codify the cosmic string and the fractional part of the ratio of the magnetic
flux by the quantum one, we were able to present in closed forms the bispinor
and the respective Green function for massive fields.
