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math.PR2025
Multiparameter Lévy white noise theory and applications
Olfa Draouil, Rahma Yasmina Moulay Hachemi, Bernt Øksendal
We construct a white noise theory and white noise calculus for the (multi-parameter) L\' evy sheet and its compensated Poisson random measures. The theory applies to stochastic par…
math.PR2025
The stochastic heat inclusion with fractional time driven by time-space Brownian and Lévy white noise
Olfa Draouil, Rahma Yasmina Moulay Hachemi, Bernt Øksendal
We study a time-fractional stochastic heat inclusion driven by additive time-space Brownian and Lévy white noise. The fractional time derivative is interpreted as the Caputo deriva…