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math.PR2026
On the Besov-Orlicz path regularity of some Gaussian processes
Rachid Belfadli, Brahim Boufoussi, Youssef Ouknine
In this paper, we rely on the additive decomposition in law satisfied by a class of stochastic processes, combined with the well-known regulariy properties of fractional Brownian m…
math.PR2026
Regularization of Hyperbolic Stochastic Partial Differential Equations By Two Fractional Brownian Sheets
Rachid Belfadli, Youssef Ouknine, Ercan Sönmez
In this paper, we establish existence and uniqueness of strong solutions for a stochastic differential equation driven by an additive noise given by the sum of two correlated fract…