[HTML][HTML] Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations
The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-
order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time …
order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time …
[HTML][HTML] Fractional-Order Degn–Harrison Reaction–Diffusion Model: Finite-Time Dynamics of Stability and Synchronization
This study aims to address the topic of finite-time synchronization within a specific subset of
fractional-order Degn–Harrison reaction–diffusion systems. To achieve this goal, we begin …
fractional-order Degn–Harrison reaction–diffusion systems. To achieve this goal, we begin …
[HTML][HTML] Stochastic modeling of influenza transmission: Insights into disease dynamics and epidemic management
The stochastic SEIR model was employed to investigate the dynamics of influenza
transmission. By incorporating transmission rates and prevalence ratios, this model provides …
transmission. By incorporating transmission rates and prevalence ratios, this model provides …
[HTML][HTML] Modeling COVID-19 spread and non-pharmaceutical interventions in South Africa: A stochastic approach
The COVID-19 pandemic has exerted a pervasive worldwide influence, including on South
Africa, which stands out as one of the African nations most substantially impacted. As of …
Africa, which stands out as one of the African nations most substantially impacted. As of …
[HTML][HTML] On discrete FitzHugh–Nagumo reaction–diffusion model: Stability and simulations
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 …
diffusion system. We begin by discretizing the FitzHugh–Nagumo reaction–diffusion model …
The Mohanad Transforms and Their Applications for Solving Systems of Differential Equations
In recent years, Mohanad transform, a mathematical approach, has drawn a lot of interest
from researchers. It is useful for solving many engineering and scientific problems, such as …
from researchers. It is useful for solving many engineering and scientific problems, such as …
[HTML][HTML] A simple harmonic quantum oscillator: fractionalization and solution
A quantum mechanical system that mimics the behavior of a classical harmonic oscillator in
the quantum domain is called a simple harmonic quantum oscillator. The time-independent …
the quantum domain is called a simple harmonic quantum oscillator. The time-independent …
[PDF][PDF] Computational Approaches to Two-Energy Group Neutron Diffusion in Cylindrical Reactors
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 …
reactors, focusing on the two-energy groups neutron diffusion system. Such modeling is …
A New Fractional Representation of the Higher Order Taylor Scheme
In this work, we suggest a new numerical scheme called the fractional higher order Taylor
method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized …
method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized …
[PDF][PDF] Analysis of the Effect of White Noise on the Halvorsen System of Variable-Order Fractional Derivatives Using a Novel Numerical Method.
M Berir - International Journal of Advances in Soft Computing & …, 2024 - i-csrs.org
Abstract The Halvorsen System (HS) of Variable-Order (VO) Fractional Derivatives is a
potent instrument for fractional differential equations and chaotic systems due to the …
potent instrument for fractional differential equations and chaotic systems due to the …