  In this article, using Laplace transformation , an analytical solution is
obtained for the DGLAP evolution equation at the next-to-leading order of
perturbative QCD. The technique is also employed to extract, in the Laplace
$s$-space, an analytical solution for the nuclear structure function, $F_2^A(x,
Q^2)$. Firstly, the results for separate nuclear parton distributions for all
parton types are presented which include valence quark densities, the
anti-quark and strange sea PDFs and finally the gluon distribution. Based on
the Laplace transformation, the obtained parton distribution functions and the
nuclear structure function in the $x$-space are compared with the results from
the [Phys.\ Rev.\ C series 86, 064301 (2012)] model. Our calculations are in
good agreement with the available DIS experimental data as well as theoretical
models which contain both small and large values of $x$-Bjorken variable. We
compare our nuclear PDFs sets with those from other recent collaborations, in
particular with the [ nCTEQ15 ] and [ HKN07] sets. The comparison between our
results and those from the literature indicates a good agreement .
