  This paper deals with Strauss and Lions-type theorems for fractional Sobolev
spaces with variable exponent $W^{s,p(.),\tilde{p}(.,.)}(\Omega)$, when $p$ and
$\tilde{p}$ satisfies some conditions. As application, we study the existence
of solutions for a class of Kirchhoff-Choquard problem in $\mathbb{R}^N$.
