@Article{JCM-43-569,
author = {Al-Maskari , Mariam},
title = {Numerical Methods for Approximating Stochastic Semilinear Time-Fractional Rayleigh-Stokes Equations},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {43},
number = {3},
pages = {569--587},
abstract = {<p style="text-align: justify;">This paper investigates a semilinear stochastic fractional Rayleigh-Stokes equation featuring a Riemann-Liouville fractional derivative of order $α ∈ (0, 1)$ in time and a fractional
time-integral noise. The study begins with an examination of the solution’s existence,
uniqueness, and regularity. The spatial discretization is then carried out using a finite
element method, and the error estimate is analyzed. A convolution quadrature method
generated by the backward Euler method is employed for the time discretization resulting
in a fully discrete scheme. The error estimate for the fully discrete solution is considered
based on the regularity of the solution, and a strong convergence rate is established. The
paper concludes with numerical tests to validate the theoretical findings.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2311-m2023-0047},
url = {http://global-sci.org/intro/article_detail/jcm/23550.html}
}