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We study slow-subdiffusion in comparison to subdiffusion. Both of theprocesses are treated as random walks and can be described within continuoustime random walk formalism. However, the probability density of the waitingtime of a random walker to take its next step $\omega(t)$ is assumed over along time limit in the form $\omega(t)\sim 1/t^{\alpha+1}$ for subdiffusion,and in the form $\omega(t)\sim h(t)/t$ for slow-subdiffusion [$h(t)$ is aslowly varying function]. We show that Green functions for slow-subdiffusionand subdiffusion can be very similar when the subdiffusion coefficient$D_\alpha$ depends on time. This creates the possibility of describingslow-subdiffusion by means of subdiffusion with a small value of thesubdiffusion parameter $\alpha$, and the subdiffusion coefficient $D_\alpha$varying over time.

A comparison study of slow--subdiffusion and subdiffusion