  In this paper, we explore how numerical calculations can be accelerated by
implementing several numerical methods of fractional-order systems using
parallel computing techniques. We investigate the feasibility of parallel
computing algorithms and their efficiency in reducing the computational costs
over a large time interval. Particularly, we present the case of
Adams-Bashforth-Mouhlton predictor-corrector method and measure the speedup of
two parallel approaches by using GPU and HPC cluster implementations.
