[HTML][HTML] Improved numerical schemes to solve general fractional diabetes models

MM Abou Hasan, AM Alghanmi, H Al Ali… - Alexandria Engineering …, 2024 - Elsevier
In this article, we propose a new class of nonlinear fractional differential equations of
diabetes disease based on the concept of Caputo fractional derivative. Two numerical …

[HTML][HTML] New crossover lumpy skin disease: Numerical treatments

NH Sweilam, WA Kareem, SM Al-Mekhlafi… - … Differential Equations in …, 2024 - Elsevier
This work expands on a novel piecewise mathematical model of Lumpy Skin Disease (LSD)
in three time intervals by utilizing fractional stochastic derivatives and variable-order …

Variable order fractional diabetes models: numerical treatment

MM Abou Hasan - International Journal of Modelling and …, 2024 - Taylor & Francis
In this paper, we present two numerical approximation solutions for the updated nonlinear
variable order fractional differential equations of diabetes disease. The variable order …

Innovative stochastic finite difference methods in mean field games: A Wiener process approach

MT Alabdullah, E El-Siedy, EM Roushdy… - Nonlinear …, 2024 - nfaa.kyungnam.ac.kr
This study explores the integration of Wiener processes into stochastic extensionsof mean
field games (MFGs), employing nonstandard finite difference methods (NSFDMs) for …

Numerical solution of the Newtonian plane Couette flow with linear dynamic wall slip

M Hasan, EAA Ahmed, AF Ghaleb… - arXiv preprint arXiv …, 2024 - arxiv.org
An efficient numerical approach based on weighted average finite differences is used to
solve the Newtonian plane Couette flow with wall slip, obeying a dynamic slip law that …

Optimal Control Problem of Hybrid FracInt Variable-Order Mathematical Model for Covid-19 with Time Delay

N Sweilam, W Abdel Kareem… - Frontiers in Scientific …, 2024 - fsrt.journals.ekb.eg
This paper investigates the variable-order FracInt derivative with time delay to examine the
corona-virus disease. In the present research, an issue with optimal control is presented for …

[PDF][PDF] A Hybrid Technique for Space-Time Fractional Parabolic Differential Equations

NH Sweilam, WA Kareem, MM Abou Hasan… - naturalspublishing.com
The main objective of the present article is to present an accurate efficient technique for
approximating the solutions of the diffusion equation of fractional space-time Lévy-Feller …