We investigate the spatiotemporal nonlocality underlying fractional-derivative models as a
possible explanation for regional-scale anomalous dispersion with heavy tails. Properties of …

We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-
parameters {α, β, γ}, as far as their Laplace transform pairs and complete monotonicity …

The paper is devoted to recent advances in stochastic modeling of anomalous kinetic
processes observed in dielectric materials which are prominent examples of disordered …

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 study the asymptotic behaviour of the time-changed stochastic process $\vphantom {X}^
f\! X (t)= B (\vphantom {S}^ f\! S (t)) $, where $ B $ is a standard one-dimensional Brownian …

Random trajectories of single particles in living cells contain information about the
interaction between particles, as well as with the cellular environment. However, precise …

In this paper we study a Langevin approach to modeling of subdiffusion in the presence of
time-dependent external forces. We construct a subordinated Langevin process, whose …

This book is an unique integrated treatise, on the concepts of fractional calculus as models
with applications in hydrology, soil science and geomechanics. The models are primarily …

We revisit the Kilbas and Saigo functions of the Mittag-Leffler type of a real variable tt, with
two independent real order-parameters. These functions, subjected to the requirement to be …

The relaxation functions introduced empirically by Debye, Cole-Cole, Cole-Davidson and
Havriliak-Negami are, each of them, solutions to their respective kinetic equations. In this …