  It is established $L^{p}$ estimates for the fractional $\Phi$-Laplacian
operator defined in bounded domains where the nonlinearity is subcritical or
critical in a suitable sense. Furthermore, using some fine estimates together
with the Moser's iteration, we prove that any weak solution for fractional
$\Phi$-Laplacian operator defined in bounded domains belongs to
$L^\infty(\Omega)$ under appropriate hypotheses on the $N$-function $\Phi$.
Using the Orlicz space and taking into account the fractional setting for our
problem the main results are stated for a huge class of nonlinear operators and
nonlinearities.
