[HTML][HTML] On discrete FitzHugh–Nagumo reaction–diffusion model: Stability and simulations

IM Batiha, O Ogilat, A Hioual, A Ouannas… - … Differential Equations in …, 2024 - Elsevier
This research paper focuses on the analysis of a discrete FitzHugh–Nagumo reaction–
diffusion system. We begin by discretizing the FitzHugh–Nagumo reaction–diffusion model …

On a new version of grierer-meinhardt model using fractional discrete calculus

I Bendib, I Batiha, A Hioual, N Anakira… - Results in …, 2024 - nonlinear-analysis.com
As mathematical models of biological pattern generation, this study studies the dynamics of
fractional discrete Gierer-Meinhardt reaction-diffusion system. After deriving the discrete non …

[PDF][PDF] Fractional Approach to Two-Group Neutron Diffusion in Slab Reactors

IM Batiha, N Allouch, M Shqair, IH Jebril… - … Journal of Robotics …, 2025 - researchgate.net
The two-energy neutron diffusion model in slab reactors characterizes neutron behavior
across two energy groups: fast and thermal. Fast neutrons, generated by fission, decelerate …

Results on Katugampola fractional derivatives and integrals

IH Jebril, MS El-Khatib, AA Abubaker… - International Journal of …, 2023 - etamaths.com
In this paper, we introduce and develop a new definitions for Katugampola derivative and
Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of …

[PDF][PDF] Computational Approaches to Two-Energy Group Neutron Diffusion in Cylindrical Reactors

I Batiha, A Abdelnebi, M Shqair, IH Jebril… - Journal of Robotics …, 2024 - researchgate.net
This study addresses the critical need for accurate neutron diffusion modeling in cylindrical
reactors, focusing on the two-energy groups neutron diffusion system. Such modeling is …