243 citations · 889 across the 7 of their papers we have counts for
12 papers
On the fractional Laplacian of variable order
Eric Darve, Marta D'Elia, Roberto Garrappa +2
We present a novel definition of variable-order fractional Laplacian on Rn based on a natural generalization of the standard Riesz potential. Our definition holds for values of the…
Variable-order fractional calculus: a change of perspective
Roberto Garrappa, Andrea Giusti, Francesco Mainardi
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…
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-…