3 papers
math.PR2025
Stochastic solutions to abstract telegraph-type equations involving fractional dynamics
Alessandro De Gregorio, Roberto Garra
This paper investigates abstract integro-differential hyperbolic equations, focusing on the probabilistic representation of their solutions. Our analysis is based on fractional der…
cond-mat.stat-mech2024
Anomalous random flights and time-fractional run-and-tumble equations
Luca Angelani, Alessandro De Gregorio, Roberto Garra +1
Random flights (also called run-and-tumble walks or transport processes) represent finite velocity random motions changing direction at any Poissonian time. These models in d-dimen…
cond-mat.stat-mech2024
Generalized time-fractional kinetic-type equations with multiple parameters
Luca Angelani, Alessandro De Gregorio, Roberto Garra
In this paper we study a new generalization of the kinetic equation emerging in run-and-tumble models. We show that this generalization leads to a wide class of generalized fractio…