  The non-Markovian features of three typical anomalous diffusing systems are
studied by analytically solving the generalized Langevin equation directly
driven by three kind of internal structured-noises: harmonic noise, harmonic
velocity noise and harmonic acceleration noise, respectively. The
time-dependent reaction rate and the transmission coefficient are calculated by
using of the reactive flux method. A startling behavior of Kramers-type
effective reactive flow is witnessed in the harmonic noise and harmonic
acceleration noise systems.
