  We consider fractional NLS with focusing power-type nonlinearity $$i
\partial_t u = (-\Delta)^s u - |u|^{2 \sigma} u, \quad (t,x) \in \mathbb{R}
\times \mathbb{R}^N,$$ where $1/2< s < 1$ and $0 < \sigma < \infty$ for $s \geq
N/2$ and $0 < \sigma \leq 2s/(N-2s)$ for $s < N/2$. We prove a general
criterion for blowup of radial solutions in $\mathbb{R}^N$ with $N \geq 2$ for
$L^2$-supercritical and $L^2$-critical powers $\sigma \geq 2s/N$. In addition,
we study the case of fractional NLS posed on a bounded star-shaped domain
$\Omega \subset \mathbb{R}^N$ in any dimension $N \geq 1$ and subject to
exterior Dirichlet conditions. In this setting, we prove a general blowup
result without imposing any symmetry assumption on $u(t,x)$. For the blowup
proof in $\mathbb{R}^N$, we derive a localized virial estimate for fractional
NLS in $\mathbb{R}^N$, which uses Balakrishnan's formula for the fractional
Laplacian $(-\Delta)^s$ from semigroup theory. In the setting of bounded
domains, we use a Pohozaev-type estimate for the fractional Laplacian to prove
blowup.
