We study fermionic perturbations in the background of a two and
five-dimensional dilatonic black holes. Then, we compute the reflection and
transmission coefficients and the absorption cross section for fermionic
fields, and we show numerically that the absorption cross section vanishes in
the low and high frequency limit. Also we find that beyond a certain value of
the horizon radius r0 the absorption cross section for five-dimensional
dilatonic black hole is constant. Besides, we have find that the absorption
cross section decreases for higher angular momentum, and it decreases when the
mass of the fermionic field increases.Comment: Accepted in EPJ