  We investigate whether young neutron stars with fall-back disks can produce
Anomalous X-Ray Pulsars (AXPs) within timescales indicated by the ages of
associated supernova remnants. The system passes through a propeller stage
before emerging as an AXP or a radio pulsar. The evolution of the disk is
described by a diffusion equation which has self-similar solutions with either
angular momentum or total mass of the disk conserved. We associate these two
types of solutions with accretor and propeller regimes, respectively. Our
numerical calculations of thin disk models with changing inner radius take into
account the super-critical accretion at the early stages, and electron
scattering and bound-free opacities with rich metal content. Our results show
that, assuming a fraction of the mass inflow is accreted onto the neutron star,
the fall-back disk scenario can produce AXPs for acceptable parameters.
