The problem of biological motion is a very intriguing and topical issue. Many efforts are
being focused on the development of novel modelling approaches for the description of …

In this paper, we identify the initial value for a time-fractional diffusion equation on a
columnar axis-symmetric domain. This problem is ill-posed, ie, the solution (if it exists) does …

By collecting from literature data experimental evidence of anomalous diffusion of passive
tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live …

In this paper, we study existence and uniqueness of strong as well as weak solutions for
general time fractional Poisson equations. We show that there is an integral representation …

We consider a general class of integro-differential evolution equations which includes the
governing equation of the generalized grey Brownian motion and the time-and space …

Semi-Markov processes are a generalization of Markov processes since the exponential
distribution of time intervals is replaced with an arbitrary distribution. This paper provides an …

We consider an ensemble of Ornstein–Uhlenbeck processes featuring a population of
relaxation times and a population of noise amplitudes that characterize the heterogeneity of …

Dans cet article, les équations de Volterra intégro-différentielles dont le noyau de
convolution dépend de la variable vectorielle sont considérées et une relation entre ces …

The aim of this work is to devise and analyse an accurate numerical scheme to solve Erdélyi–
Kober fractional diffusion equation. This solution can be thought as the marginal pdf of the …

Superstatistical systems are non-equilibrium systems in stationary states with large
fluctuations of intensive quantities. Different effective statistical processes follow accordingly …