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 …

Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

In the paper, we present a new definition of fractional derivative with a smooth kernel which
takes on two different representations for the temporal and spatial variable. The first works …

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 developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

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

Transmutations, Singular and Fractional Differential Equations with Applications to
Mathematical Physics connects difficult problems with similar more simple ones. The book's …

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 …

This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

We discuss existence, uniqueness, and structural stability of solutions of nonlinear
differential equations of fractional order. The differential operators are taken in the Riemann …