Figure 4. MSD 〈x²(t)〉 and time averaged MSD obtained from computer simulations of the corresponding finite difference analogue of the Langevin equation for γ₀ = 1, τ₀ = 30, D₀ = 1, m = 1, T₀ = 1.

We show the cases of subdiffusion with α = 1/2 (panel a) and of ultraslow diffusion with α = 0 (panel b). The symbols depict the simulations results of the Langevin equations (25) (a) and (30) (b). The lines represent the analytical results (28) and (32), respectively.