29 citations · 106 across the 7 of their papers we have counts for
5 papers · 1 filter
Emergence of Fractional Kinetics in Spiny Dendrites
Silvia Vitali, Francesco Mainardi, Gastone Castellani
Fractional extensions of the cable equation have been proposed in the literature to describe transmembrane potential in spiny dendrites. The anomalous behavior has been related in…
Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles
Oleksii Yu. Sliusarenko, Silvia Vitali, Vittoria Sposini +4
Complex systems display anomalous diffusion, whose signature is a space/time scaling with in the Probability Density Function (PDF). Anomalous diffusion can…
Langevin equation in complex media and anomalous diffusion
Silvia Vitali, Vittoria Sposini, Oleksii Sliusarenko +3
The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modeling approaches for the description of anoma…
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: a pathway to non-autonomous stochastic differential equations and to fractional diffusion
Mirko D'Ovidio, Silvia Vitali, Vittoria Sposini +4
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 the e…
Storage and dissipation of energy in Prabhakar viscoelasticity
Ivano Colombaro, Andrea Giusti, Silvia Vitali
In this paper, after a brief review of the physical notion of quality factor in viscoelasticity, we present a complete discussion of the attenuation processes emerging in the Maxwe…