@Article{JNMA-7-1369,
author = {Khaider , HassanAzanzal , Achraf and Raji , Abderrahmane},
title = {Mild Solution for the Time Fractional Hall-Magneto-Hydrodynamics Stochastic Equations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {4},
pages = {1369--1382},
abstract = {<p style="text-align: justify;">In this paper, we establish the existence and uniqueness of mild solutions for the time fractional hall-magneto-hydrodynamics stochastic equations with a fractional derivative of Caputo. Initially, we focus on the existence and uniqueness in the deterministe case. Using the Mittag-Leffler operators $\{\mathcal{Q}_α(−t^α \mathbb{J}): t ≥ 0\}$ and $\{\mathcal{Q}_{α,α}(−t^α \mathbb{J}) : t ≥ 0\}$ and applying the bilinear fixed-point theorem, we will prove the frist result. Next, by Itô integral, and by similair analogy we will establish the existence and uniqueness in the stochastic case in $\mathcal{EN}^{\mu}_a ∩ N^{2α}_{a,\mu}.$</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.1369},
url = {http://global-sci.org/intro/article_detail/jnma/24241.html}
}