243 citations · 525 across the 10 of their papers we have counts for
15 papers
A note on generalized fractional diffusion equations on Poincarè half plane
R. Garra, F. Maltese, E. Orsingher
In this paper we study generalized time-fractional diffusion equations on the Poincarè half plane . The time-fractional operators here considered are fractional der…
Alternative probabilistic representations of Barenblatt-type solutions
Alessandro De Gregorio, Roberto Garra
A general class of probability density functions \[u(x,t)=Ct^{-αd}\left (1-\left (\frac{\|x\|}{ct^α}\right )^β\right )_+^γ,\quad x\in \mathbb{R}^d,t>0,\] is considered, containing…
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…
Probability distributions for the run-and-tumble models with variable speed and tumbling rate
Luca Angelani, Roberto Garra
In this paper we consider a telegraph equation with time-dependent coefficients, governing the persistent random walk of a particle moving on the line with a time-varying velocity…
Cyclic random motions with orthogonal directions
E. Orsingher, R. Garra, A. I. Zeifman
A cyclic random motion at finite velocity with orthogonal directions is considered in the plane and in . We obtain in both cases the explicit conditional distribution…
Modeling biological systems with an improved fractional Gompertz law
Luigi Frunzo, Roberto Garra, Andrea Giusti +1
The aim of this paper is to provide a fractional generalization of the Gompertz law via a Caputo-like definition of fractional derivative of a function with respect to another func…