[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

A guide to special functions in fractional calculus

V Kiryakova - Mathematics, 2021 - mdpi.com
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 …

[图书][B] Fractional calculus: an introduction for physicists

R Herrmann - 2011 - World Scientific
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 …

The Prabhakar or three parameter Mittag–Leffler function: Theory and application

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 …

The Wright functions of the second kind in Mathematical Physics

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 …

ON SOME PROPERTIES OF THE MITTAG-LEFFLER FUNCTION Eα (-tα), COMPLETELY MONOTONE FOR t > 0 WITH 0 < α < 1.

F Mainardi - … & Continuous Dynamical Systems-Series B, 2014 - search.ebscohost.com
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 &lt; α &lt; 1 and t &gt; 0, which is known to be completely …

[图书][B] From Bessel to multi-index Mittag-Leffler functions: Enumerable families, series in them and convergence

J Paneva-Konovska - 2016 - books.google.com
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 …

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

P Agarwal, M Chand, D Baleanu, D O'Regan… - Advances in Difference …, 2018 - Springer
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(⋅) …

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

J Choi, P Agarwal - Filomat, 2016 - JSTOR
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 …

On the multi-index Mittag-Leffler functions and their Mellin transforms

J Paneva-Konovska, V Kiryakova - International Journal of Applied …, 2020 - diogenes.bg
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 …