Often referred to as special functions or mathematical functions, the origin of many members
of the remarkably vast family of higher transcendental functions can be traced back to such …

Abstract The Mittag–Leffler function is universally acclaimed as the Queen function of
fractional calculus. The aim of this work is to survey the key results 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 …

Fractional differential equations (FDES), ie, differential equations involving fractional-order
derivatives, have received much recent attention in engineering, physics, biology and …

In this survey we stress the importance of the higher transcendental Mittag-Leffler function in
the framework of the Fractional Calculus. We first start with the analytical properties of the …

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 …

We consider an initial value problem for a class of nonlinear fractional differential equations
involving Hilfer fractional derivative. We prove existence and uniqueness of global solutions …

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 …

The present state-of-the-art article is devoted to the analysis of new trends and recent results
carried out during the last 10 years in the field of fractional calculus application to dynamic …

The purpose of this paper is twofold: from one side we provide a general survey to the
viscoelastic models constructed via fractional calculus and from the other side we intend to …