  In this paper we are concerned with the asymptotic behavior of nonautonomous
fractional approximations of oscillon equation $$ u_{tt}-\mu(t)\Delta
u+\omega(t)u_t=f(u),\ x\in\Omega,\ t\in\mathbb{R}, $$ subject to Dirichlet
boundary condition on $\partial \Omega$, where $\Omega$ is a bounded smooth
domain in $\mathbb{R}^N$, $N\geqslant 3$, the function $\omega$ is a
time-dependent damping, $\mu$ is a time-dependent squared speed of propagation,
and $f$ is a nonlinear functional. Under structural assumptions on $\omega$ and
$\mu$ we establish the existence of time-dependent attractor for the fractional
models in the sense of Carvalho, Langa, Robinson \cite{CLR}, and Di Plinio,
Duane, Temam \cite{DDT1}.
