290 citations · 1.8k across the 21 of their papers we have counts for
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On the Kuzmin model in fractional Newtonian gravity
Andrea Giusti, Roberto Garrappa, Geneviève Vachon
Fractional Newtonian gravity, based on the fractional generalization of Poisson's equation for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an alt…
Stability of fractional-order systems with Prabhakar derivatives
Roberto Garrappa, Eva Kaslik
Fractional derivatives of Prabhakar type are capturing an increasing interest since their ability to describe anomalous relaxation phenomena (in dielectrics and other fields) showi…
On a generalized three-parameter Wright function of the Le Roy type
Roberto Garrappa, Sergei Rogosin, Francesco Mainardi
Recently S. Gerhold and R. Garra-F. Polito independently introduced a new function related to the special functions of Mittag-Leffler family. This function is a generalization of t…
Why fractional derivatives with nonsingular kernels should not be used
Kai Diethelm, Roberto Garrappa, Andrea Giusti +1
In recent years, many papers discuss the theory and applications of new fractional-order derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann-…
On initial conditions for fractional delay differential equations
Roberto Garrappa, Eva Kaslik
Derivatives of fractional order are introduced in different ways: as left-inverse of the fractional integral or by generalizing the limit of the difference quotient defining intege…
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…