Výsledky vyhledávání

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The inhomogeneous fractional stochastic heat equation driven by fractional Brownian motion

Autor: Alessa, R., Subaie, R. Al, Alwohaibi, M., Majdoub, M., Mliki, E.

We investigate the fractional Hardy-H\'enon equation with fractional Brownian noise $$ \partial_t u(t)+(-\Delta)^{\theta/2} u(t)=|x|^{-\gamma} |u(t)|^{p-1}u(t)+\mu \partial_t B^H(t), $$ where $\theta>0$, $p>1$, $\gamma\geq 0$, $\mu \in\mathbb{R}$, an

Externí odkaz: http://arxiv.org/abs/2404.12088

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Subordinators and generalized heat kernels: Random time change and long time dynamics

Autor: Ajaber, N., Alshehri, A., Altamimi, H., Majdoub, M., Mliki, E.

This paper focuses on studying the long-time dynamics of the subordination process for a range of linear evolution equations, with a special emphasis on the fractional heat equation. By treating inverse subordinators as random time variables and empl

Externí odkaz: http://arxiv.org/abs/2404.12067

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On the fractional mixed fractional Brownian motion Time Changed by Inverse alpha Stable Subordinator

Autor: Mliki, Ezzedine

A time-changed fractional mixed fractional Brownian motion by inverse alpha stable subordinator with index alpha in (0, 1) is an iterated process L constructed as the superposition of fractional mixed fractional Brownian motion N(a, b) and an indepen

Externí odkaz: http://arxiv.org/abs/2301.09751

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Akademický článek

Rheological behavior of the synovial fluid: a mathematical challenge

Autor: Noureddine Ouerfelli, Narcisa Vrinceanu, Ezzedine Mliki, Kamal A. Amin, Lotfi Snoussi, Diana Coman, Dalila Mrabet

Publikováno v: Frontiers in Materials, Vol 11 (2024)

BackgroundSynovial fluid (SF) is often used for diagnostic and research purposes as it reflects the local inflammatory environment. Owing to its complex composition, especially the presence of hyaluronic acid, SF is usually viscous and non-homogeneou

Externí odkaz: https://doaj.org/article/6c80fceb666b45eab841e9e3cf8945dd