  In this paper, we consider the fractional Navier-Stokes equations. We extend
a previous non-uniqueness result due to Cheskidov and Luo, found in [5], from
Navier-Stokes to the fractional case, and from $L^1$-in-time,
$W^{1,q}$-in-space solutions for every $q > 1$ to $L^s$-in-time,
$W^{1,q}$-in-space solutions for appropriate ranges of $s,q$.
