Dedicated to the memory of Professor Richard Askey (1933–2019) and to pay tribute to the Bateman Project. Harry Bateman planned his “shoe-boxes” project (accomplished after his …
Up to now we have introduced a fractional derivative definition for special simple function classes. In the following section we will present common generalizations for arbitrary …
R Garra, R Garrappa - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
The Prabhakar function (namely, a three parameter Mittag–Leffler function) is investigated. This function plays a fundamental role in the description of the anomalous dielectric …
F Mainardi, A Consiglio - Mathematics, 2020 - mdpi.com
In this review paper, we stress the importance of the higher transcendental Wright functions of the second kind in the framework of Mathematical Physics. We first start with the analytical …
We analyse some peculiar properties of the function of the Mittag-Leffler (ML) type, e< sub> α(t):= E< sub> α(-t< sup> α) for 0 < α < 1 and t > 0, which is known to be completely …
Bessel and Mittag-Leffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional models within applied mathematics. Since the …
The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function E k, ζ, η γ, ρ (⋅) E^γ,ρ_k,ζ,η(⋅) …
Recently Kiryakova and several other ones have investigated so-called multiindex Mittag- Leffler functions associated with fractional calculus. Here, in this paper, we aim at …
In this survey paper we consider the classes of the multi-index Mittag-Leffler functions, introduced and studied by the authors as extensions of the classical Mittag-Leffler functions …