Lévy walks
Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Fractional kinetic equations of the diffusion, diffusion–advection, and Fokker–Planck type
are presented as a useful approach for the description of transport dynamics in complex …
are presented as a useful approach for the description of transport dynamics in complex …
[图书][B] Mittag-Leffler functions, related topics and applications
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …
have uncovered significant deviations from the laws of Brownian motion in a variety of …
[图书][B] Fractional heat conduction and related theories of thermoelasticity
Y Povstenko, Y Povstenko - 2015 - Springer
This chapter is devoted to time-and space-nonlocal generalizations of the standard Fourier
law, the corresponding generalizations of the classical heat conduction equation and …
law, the corresponding generalizations of the classical heat conduction equation and …
[图书][B] Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models
F Mainardi - 2022 - books.google.com
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …
[图书][B] Theory and applications of fractional differential equations
AA Kilbas, HM Srivastava, JJ Trujillo - 2006 - books.google.com
This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …
differential and fractional integro-differential equations involving many different potentially …
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …
forged into a mature framework in the theory of stochastic processes. A large number of …
The inspection paradox in stochastic resetting
The remaining travel time of a plane shortens with every minute that passes from its
departure, and a flame diminishes a candle with every second it burns. Such everyday …
departure, and a flame diminishes a candle with every second it burns. Such everyday …
[HTML][HTML] Finite difference approximations for fractional advection–dispersion flow equations
MM Meerschaert, C Tadjeran - Journal of computational and applied …, 2004 - Elsevier
Fractional advection–dispersion equations are used in groundwater hydrology to model the
transport of passive tracers carried by fluid flow in a porous medium. In this paper we …
transport of passive tracers carried by fluid flow in a porous medium. In this paper we …