  In this article, we investigate the existence, uniqueness, nonexistence, and
regularity of weak solutions to the nonlinear fractional elliptic problem of
type $(P)$ (see below) involving singular nonlinearity and singular weights in
smooth bounded domain. We prove the existence of weak solution in
$W_{loc}^{s,p}(\Omega)$ via approximation method. Establishing a new comparison
principle of independent interest, we prove the uniqueness of weak solution for
$0 \leq \delta< 1+s- \frac{1}{p}$ and furthermore the nonexistence of weak
solution for $\delta \geq sp.$ Moreover, by virtue of barrier arguments we
study the behavior of minimal weak solution in terms of distance function.
Consequently, we prove H\"older regularity up to the boundary and optimal
Sobolev regularity for minimal weak solutions.
