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 …

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 …

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

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 …

The present article deals with certain new and interesting features of fractional blood alcohol
model associated with powerful Hilfer fractional operator. The solution of the model depends …

The subject of fractional calculus (that is, the calculus of integrals and derivatives of any
arbitrary real or complex order) has gained considerable popularity and importance during …

This work is devoted to the time-fractional differential equations with the regularized
Prabhakar derivative and their analytical solutions. We generalize the invariant subspace …