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 …

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 …

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

Several approaches to the formulation of a fractional theory of calculus of “variable order”
have appeared in the literature over the years. Unfortunately, most of these proposals lack a …

In this paper, the generalized exponential rational function method is used to construct exact
solutions of the β conformable-time Radhakrishnan-Kundu-Lakshmanan equation. This …

General fractional calculus offers an elegant and self-consistent path toward the
generalization of fractional calculus to an enhanced class of kernels. Prabhakar's theory can …

Countries globally trade with tons of waste materials every year, some of which are highly
hazardous. This trade admits a network representation of the world-wide waste web, with …

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 …

Peridynamics is a nonlocal theory for dynamic fracture analysis consisting in a second order
in time partial integro-differential equation. In this paper, we consider a nonlinear model of …

The Estrada index of a graph/network is defined as the trace of the adjacency matrix
exponential. It has been extended to other graph-theoretic matrices, such as the Laplacian …