23 citations · 34 across the 6 of their papers we have counts for
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On Malliavin differentiability and absolute continuity of one-dimensional doubly perturbed diffusion processes
Rachid Belfadli, Lahcen Boulanba, Youssef Ouknine
In this paper, we establish Malliavin differentiability and absolute continuity for -doubly perturbed diffusion process with parameters and such that , w…
On Carathéodory approximate scheme for a class of one-dimensional doubly perturbed diffusion processes
R. Belfadli, L. Boulanba, Y. Ouknine
In this paper, we introduce and study the convergence of new Carathéodory's approximate solution for one-dimensional -doubly perturbed stochastic differential equations (DPSD…
Moderate deviations for a stochastic Burgers equation
Rachid Belfadli, Lahcen Boulanba, Mohamed Mellouk
A moderate deviations principle for the law of a stochastic Burgers equation is proved via the weak convergence approach. In addition, some useful estimates toward a central limit…
Large deviations for a stochastic Cahn-Hilliard equation in Hölder norm
Lahcen Boulanba, Mohamed Mellouk
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. We prove the Large Deviations Principle (LDP) for the law of the solutions…
On a high-dimensional nonlinear stochastic partial differential equation
Lahcen Boulanba, Mohamed Mellouk
In this paper we investigate a nonlinear stochastic partial differential equation (spde in short) perturbed by a space-correlated Gaussian noise in arbitrary dimension , wi…
Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density
Lahcen Boulanba, M'hamed Eddahbi, Mohamed Mellouk
In this paper we study a class of stochastic partial differential equations in the whole space , with arbitrary dimension , driven by a Gaussian noise whit…