[HTML][HTML] Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov's equation

U Younas, F Yao, N Nasreen, A Khan, T Abdeljawad - Results in Physics, 2024 - Elsevier
The study of soliton theory plays a crucial role in the telecommunication industry's utilization
of nonlinear optics. The principal area of research in the field of optical solitons revolves …

Stability and computational results for chemical kinetics reactions in enzyme

M Sivashankar, S Sabarinathan, H Khan… - Journal of Mathematical …, 2024 - Springer
Kinetic chemical reactions find applications across various fields. In industrial processes,
they drive the production of essential materials like fertilizers and pharmaceuticals. In …

A generalized fractional hepatitis B virus infection model with both cell-to-cell and virus-to-cell transmissions

Z Yaagoub, M Sadki, K Allali - Nonlinear Dynamics, 2024 - Springer
In this paper, we suggest a generalized fractional hepatitis B viral infection model with two
modes of transmission that are cell-to-cell and virus-to-cell. These two modes of …

Time-Inhomogeneous Finite Birth Processes with Applications in Epidemic Models

V Giorno, AG Nobile - Mathematics, 2023 - mdpi.com
We consider the evolution of a finite population constituted by susceptible and infectious
individuals and compare several time-inhomogeneous deterministic models with their …

Survival analysis of a predator–prey model with seasonal migration of prey populations between breeding and non-breeding regions

X Dai, H Jiao, J Jiao, Q Quan - Mathematics, 2023 - mdpi.com
In this paper, we establish and study a novel predator–prey model that incorporates:(i) the
migration of prey between breeding and non-breeding regions;(ii) the refuge effect of prey; …

Modeling the dynamics of Covid-19 in Japan: employing data-driven deep learning approach

SP Nelson, R Raja, P Eswaran, J Alzabut… - International Journal of …, 2024 - Springer
This paper aims to build the SVIHRD model for COVID-19 and it also simultaneously
conduct stability and numerical analysis on the transmission of COVID-19. Here we do a …

[HTML][HTML] Dynamics and Simulations of Impulsive Population Models Involving Integrated Mosquito Control Strategies and Fractional Derivatives for Dengue Control

X Zhang, H He, K Wang, H Zhu - Fractal and Fractional, 2024 - mdpi.com
Dengue fever, a mosquito-borne disease caused by the dengue virus, imposes a substantial
disease burden on the world. Wolbachia not only manipulates the reproductive processes of …

[PDF][PDF] Semi-analytical solutions for time-fractional Fisher equations via new iterative method

SA Tarate, AP Bhadane, SB Gaikwad… - Baghdad Science …, 2024 - iasj.net
An effective method for resolving non-linear partial differential equations with fractional
derivatives is the New Sumudu Transform Iterative Method (NSTIM). It excels at solving …

A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method

Kamran, M Asif, A Mukheimer, K Shah, T Abdeljawad… - Open Physics, 2024 - degruyter.com
Modeling several physical events leads to the Bagley–Torvik equation (BTE). In this study,
we have taken into account the BTE, including the Caputo–Fabrizio and Atangana–Baleanu …

Qualitative Analysis of Fractional Stochastic Differential Equations with Variable Order Fractional Derivative

A Ali, K Hayat, A Zahir, K Shah… - Qualitative Theory of …, 2024 - Springer
This research paper has been dedicated to the investigation of Coupled System of
Fractional Stochastic Differential Equations (CSFSDEs), which is an extension of Fractional …