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 …
A review of definitions of fractional derivatives and other operators
GS Teodoro, JAT Machado, EC De Oliveira - Journal of Computational …, 2019 - Elsevier
Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …
[BOOK][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 …
[BOOK][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 …
[BOOK][B] Fractional calculus: models and numerical methods
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …
differential operators including integrals and derivatives of any arbitrary real or complex …
[BOOK][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 …
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 …
[BOOK][B] The H-function: theory and applications
AM Mathai, RK Saxena, HJ Haubold - 2009 - books.google.com
TheH-function or popularly known in the literature as Fox'sH-function has recently found
applications in a large variety of problems connected with reaction, diffusion, reaction …
applications in a large variety of problems connected with reaction, diffusion, reaction …
Mittag‐Leffler functions and their applications
HJ Haubold, AM Mathai… - Journal of applied …, 2011 - Wiley Online Library
Motivated essentially by the success of the applications of the Mittag‐Leffler functions in
many areas of science and engineering, the authors present, in a unified manner, a detailed …
many areas of science and engineering, the authors present, in a unified manner, a detailed …
A fully discrete difference scheme for a diffusion-wave system
Z Sun, X Wu - Applied Numerical Mathematics, 2006 - Elsevier
A fully discrete difference scheme is derived for a diffusion-wave system by introducing two
new variables to transform the original equation into a low order system of equations. The …
new variables to transform the original equation into a low order system of equations. The …