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 …

Subdiffusive processes have become a field of great interest in the last decades, due to
amounting experimental evidence of subdiffusive behavior in complex systems, and …

Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

This accessible monograph is devoted to a rapidly develo** area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …

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 …

This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …

Fractional calculus is a rapidly growing field of research, at the interface between probability,
differential equations, and mathematical physics. It is used to model anomalous diffusion, in …

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 …

2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …