243 citations · 1.3k across the 48 of their papers we have counts for
6 papers · 1 filter
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…
Some applications of Wright functions in fractional differential equations
R. Garra, F. Mainardi
In this note we prove some new results about the application of Wright functions of the first kind to solve fractional differential equations with variable coefficients. Then, we c…
Long time localization of modified surface quasi-geostrophic equations
Guido Cavallaro, Roberto Garra, Carlo Marchioro
We discuss the time evolution of a two-dimensional active scalar flow, which extends some properties valid for a two-dimensional incompressible nonviscous fluid. In particular we s…
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…