A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis

I Ahmed, A Akgül, F Jarad, P Kumam… - Mathematical Modelling …, 2023 - dergipark.org.tr
In recent years, the availability of advanced computational techniques has led to a growing
emphasis on fractional-order derivatives. This development has enabled researchers to …

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

S Ahmad, D Qiu, M Rahman - Mathematical Modelling and …, 2022 - dergipark.org.tr
For the sake of human health, it is crucial to investigate infectious diseases including
HIV/AIDS, hepatitis, and others. Worldwide, the recently discovered new coronavirus …

An efficient approximate analytical technique for the fractional model describing the solid tumor invasion

HB Chethan, R Saadeh, DG Prakasha, A Qazza… - Frontiers in …, 2024 - frontiersin.org
In this manuscript, we derive and examine the analytical solution for the solid tumor invasion
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …

Mathematical modeling and control of lung cancer with IL2 cytokine and anti-PD-L1 inhibitor effects for low immune individuals

A Ahmad, MO Kulachi, M Farman, MD Junjua… - Plos one, 2024 - journals.plos.org
Mathematical formulations are crucial in understanding the dynamics of disease spread
within a community. The aim of this work is to examine that the Lung Cancer detection and …

Dynamics investigation and numerical simulation of fractional-order predator-prey model with Holling type functional response

Z Hammouch, MO Jamil, C Unlu - Discrete and Continuous …, 2024 - aimsciences.org
In the study of population dynamics, understanding the interactions between different
species is crucial. Traditional models often rely on integer-order derivatives, which lack …

Fractional Derivative Technique for Modeling the Dynamics of Social Media Impacts

M Dasumani, BS Lassong, IK Adu… - Discrete Dynamics in …, 2024 - Wiley Online Library
The advent of social media (SM) platforms has transformed communications, information
dissemination, and interpersonal relationships on a global scale. As SM continues to evolve …

A dynamical model of drinking and smoking with optimal control analysis

FA Wireko, S Ndogum, BA Nasiru, D Ansah-Asamoah… - PloS one, 2024 - journals.plos.org
The intake of alcohol is dangerous, and the smoking of tobacco is savage, but it is life-
threatening to practice both smoking and drinking. According to the World Health …

New Results for Existence, Uniqueness, and Ulam Stable Theorem to Caputo–Fabrizio Fractional Differential Equations with Periodic Boundary Conditions

MO Mohammed, AS Rafeeq - International Journal of Applied and …, 2024 - Springer
The research is focused on establishing the existence and uniqueness of solutions for a
specific set of Caputo–Fabrizio fractional differential equations under periodic boundary …

Properties of Stability and Local Hopf Bifurcation for an HBV Model with Two Delays

H Quan, X Yan, X Zhou - Iranian Journal of Science, 2023 - Springer
This paper studies a mathematical model of Hepatitis B Virus (HBV) infection with two time
delays, which considers the effect of lytic and non-lytic mechanisms in the Cytotoxic T …