A particle's motion in crowded environments often exhibits anomalous diffusion, whose
nature depends on the situation at hand and is formalized within different physical models …

Subdiffusive processes have become a field of great interest in the last decades, due to
amounting experimental evidence of subdiffusive behavior in complex systems, and …

Accurately characterizing the anomalous diffusion of a tracer particle has become a central
issue in biophysics. However, measurement errors raise difficulty in the characterization of …

Diffusion can be used to infer the microscopic features of a system from the observation of its
macroscopic dynamics. Brownian motion accurately describes many diffusive systems, but …

Anomalous diffusion in crowded fluids, eg, in cytoplasm of living cells, is a frequent
phenomenon. A common tool by which the anomalous diffusion of a single particle can be …

We use a subdiffusion equation with fractional Caputo time derivative with respect to another
function g (g-subdiffusion equation) to describe a smooth transition from ordinary …

The most common way of estimating the anomalous scaling exponent from single-particle
trajectories consists of a linear fit of the dependence of the time-averaged mean-square …

The stochastic solution with Gaussian stationary increments is established for the symmetric
space-time fractional diffusion equation when 0< β< α≤ 2, where 0< β≤ 1 and 0< α≤ 2 are …

We show that some important properties of subdiffusion of unknown origin (including ones of
mixed origins) can be easily assessed when finding the “fundamental moment” of the …

A review of recent developments in the theoretical description and mathematical modelling
of subdiffusion-reaction systems is presented. A number of subdiffusion-reaction models are …