  In this article, we consider fractional stochastic wave equations on $\mathbb
R$ driven by a multiplicative Gaussian noise which is white/colored in time and
has the covariance of a fractional Brownian motion with Hurst parameter
$H\in(\frac14, \frac12)$ in space. We prove the existence and uniqueness of the
mild Skorohod solution, establish lower and upper bounds for the $p$-th moment
of the solution for all $p\ge2$, and obtain the H\"older continuity in time and
space variables for the solution.
