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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…
math.PR2025
Hadamard fractional Brownian motion: path properties and Wiener integration
Luisa Beghin, Alessandro De Gregorio, Yuliya Mishura
The so-called Hadamard fractional Brownian motion, as defined in Beghin et al. (2025) by means of Hadamard fractional operators, is a Gaussian process which shares some properties…