Diffusive transport of particles or, more generally, small objects, is a ubiquitous feature of
physical and chemical reaction systems. In configurations containing confining walls or …

Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

We develop the finite element method for the numerical resolution of the space and time
fractional Fokker–Planck equation, which is an effective tool for describing a process with …

Viscoelastic subdiffusion: generalized Langevin equation approach Page 195 VISCOELASTIC
SUBDIFFUSION: GENERALIZED LANGEVIN EQUATION APPROACH IGOR GOYCHUK …

Anomalous diffusion is one of the most ubiquitous phenomena in nature, and it is present in
a wide variety of physical situations, for instance, transport of fluid in porous media, diffusion …

We study viscoelastic subdiffusion in bistable and periodic potentials within the generalized
Langevin equation approach. Our results justify the (ultra) slow fluctuating rate view of the …

The Cable equation has been one of the most fundamental equations for modeling neuronal
dynamics. In this paper, we consider the numerical solution of the fractional Cable equation …

In this paper we present a general technique to construct high order schemes for the
numerical solution of the fractional ordinary differential equations (FODEs). This technique is …

A Crank–Nicolson-type difference scheme is proposed for solving the subdiffusion equation
with fractional derivative, and the truncation error is analyzed in detail. At each temporal …

We review recent advances in rectification control of artificial microswimmers, also known as
Janus particles, diffusing along narrow, periodically corrugated channels. The swimmer self …