198 citations · 334 across the 6 of their papers we have counts for
6 papers
On some inequalities for the two-parameter Mittag-Leffler function in the complex plane
Roberto Garrappa, Stefan Gerhold, Marina Popolizio +1
For the two-parameter Mittag-Leffler function with and we consider the question whether and are comparable on the whole c…
A practical guide to Prabhakar fractional calculus
Andrea Giusti, Ivano Colombaro, Roberto Garra +4
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 emerging from…
Computing the matrix Mittag-Leffler function with applications to fractional calculus
Roberto Garrappa, Marina Popolizio
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 functi…
Efficient approximation of functions of some large matrices by partial fraction expansions
Daniele Bertaccini, Marina Popolizio, Fabio Durastante
Some important applicative problems require the evaluation of functions of large and sparse and/or \emph{localized} matrices . Popular and interesting techniques for computi…
Lagrangian Numerical Methods for Ocean Biogeochemical Simulations
Francesco Paparella, Marina Popolizio
We propose two closely--related Lagrangian numerical methods for the simulation of physical processes involving advection, reaction and diffusion. The methods are intended to be us…
Exponential quadrature rules for linear fractional differential equations
Roberto Garrappa, Marina Popolizio
This paper focuses on the numerical solution of initial value problems for fractional differential equations of linear type. The approach we propose grounds on expressing the solut…