Brownian motion is the archetypal model for random transport processes in science and
engineering. Brownian motion displays neither wild fluctuations (the “Noah effect”), nor long …

This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

A new method that enables easy and convenient discretization of partial differential
equations with derivatives of arbitrary real order (so-called fractional derivatives) and delays …

Abstract We introduce fractional Nernst-Planck equations and derive fractional cable
equations as macroscopic models for electrodiffusion of ions in nerve cells when molecular …

We derive a fractional Fokker-Planck equation for subdiffusion in a general space-and time-
dependent force field from power law waiting time continuous time random walks biased by …

A century after the celebrated Langevin paper [CR Seances Acad. Sci. 146, 530 (1908)
COREAF 0001-4036] we study a Langevin-type approach to subdiffusion in the presence of …

We present the results of the Fermi-Large Area Telescope 10 yr long light curve (LC)
modeling of selected blazars: six flat-spectrum radio quasars (FSRQs) and five BL Lacertae …

In statistical physics, subdiffusion processes are characterized by certain power-law
deviations from the classical Brownian linear time dependence of the mean square …

We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous
subdiffusion for modeling chemically directed transport of biological organisms in changing …

We study the transport of information between two complex systems with similar properties.
Both systems generate non-Poisson renewal fluctuations with a power-law spectrum 1/f 3-μ …