198 citations · 205 across the 7 of their papers we have counts for
7 papers
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…
Application of the fractional conservation of mass to Gas Flow diffusivity equation in heterogeneous porous media
A. Caserta, R. Garra, E. Salusti
In this paper we reconsider the classical nonlinear diffusivity equation of real gas in an heterogenous porous medium in light of the recent studies about the generalized fractiona…
On the effect of a two-rocks boundary on the propagation of nonlinear transients of temperature and pressure in deformable porous rocks
E. Salusti, R. Droghei, R. Garra
We here analyze the propagation of transients of fluid-rock temperature and pressure through a thin boundary layer, where a steady trend is present, between two adjacent homogeneou…
Random motions with space-varying velocities
R. Garra, E. Orsingher
Random motions on the line and on the plane with space-varying velocities are considered and analyzed in this paper. On the line we investigate symmetric and asymmetric telegraph p…
Finite velocity planar random motions driven by inhomogeneous fractional Poisson distributions
R. Garra, E. Orsingher
In this paper we study finite velocity planar random motions with an infinite number of possible directions, where the number of changes of direction is randomized by means of an i…
Nonlinear time-fractional dispersive equations
P. Artale Harris, R. Garra
In this paper we study some cases of time-fractional nonlinear dispersive equations (NDEs) involving Caputo derivatives, by means of the invariant subspace method. This method allo…