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 …

The computation of the Mittag-Leffler (ML) function with matrix arguments, and some
applications in fractional calculus, are discussed. In general the evaluation of a scalar …

The main target of this monograph is to provide the detailed investigations to the newly
established special functions involving the Mittag-Leffler, Wiman, Prabhakar, Miller–Ross …

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 …

After reviewing the definition of two differential operators which have been recently
introduced by Caputo and Fabrizio and, separately, by Atangana and Baleanu, we present …

This study addresses the stress–strain relaxation functions of solid polymers in the
framework of the linear viscoelasticity with aim to establish the adequate fractional operators …

In this work, we investigate a series of mathematical aspects for the fractional diffusion
equation with stochastic resetting. The stochastic resetting process in Evans–Majumdar …

Fractional calculus is allowing integrals and derivatives of any positive order (the term
fractional is kept only for historical reasons). It can be considered a branch of mathematical …

We study the structure and operators of Prabhakar fractional calculus, in particular the
operators of Caputo type, using the machinery of Mikusiński's operational calculus. This …

Fractional derivatives of Prabhakar type are capturing an increasing interest since their
ability to describe anomalous relaxation phenomena (in dielectrics and other fields) showing …