Modelling and analysis of a measles epidemic model with the constant proportional Caputo operator

M Farman, A Shehzad, A Akgül, D Baleanu, MD Sen - Symmetry, 2023 - mdpi.com
Despite the existence of a secure and reliable immunization, measles, also known as
rubeola, continues to be a leading cause of fatalities globally, especially in underdeveloped …

Modeling of measles epidemic with optimized fractional order under Caputo differential operator

S Qureshi, R Jan - Chaos, Solitons & Fractals, 2021 - Elsevier
Memory is an important characteristic of an epidemic. One of such memory dependent and
highly contagious viral diseases is measles that is also responsible for more than 140,000 …

[PDF][PDF] A numerical study of complex dynamics of a chemostat model under fractal-fractional derivative

ZA Khan, K Shah, B Abdalla, T Abdeljawad - Fractals, 2023 - researchgate.net
In this paper, we study the existence of numerical solution and stability of a chemostat model
under fractal fractional order derivative. First, we investigate the positivity and roundedness …

More properties of the proportional fractional integrals and derivatives of a function with respect to another function

F Jarad, T Abdeljawad, S Rashid… - Advances in Difference …, 2020 - Springer
In this article, we present some new properties of the fractional proportional derivatives of a
function with respect to a certain function. We use a modified Laplace transform to find the …

[PDF][PDF] A review of fractional-order models for plant epidemiology

KS Nisar, M Farman, M Abdel-Aty… - Prog Fraction Differ …, 2024 - naturalspublishing.com
In the modern day, fractional operators are being utilized more and more to express
problems and study the spread of epidemics, reflecting the growing interest in mathematical …

[HTML][HTML] Analysis on a coupled system of two sequential hybrid BVPs with numerical simulations to a model of typhoid treatment

S Gul, RA Khan, H Khan, R George, S Etemad… - Alexandria Engineering …, 2022 - Elsevier
In the present paper, we analyze a coupled system of nonlinear three point boundary value
problems (BVPs) consisting of a coupled system of higher order hybrid sequential …

[PDF][PDF] A fractal-fractional order model to study multiple sclerosis: a chronic disease

K Shah, B Abdalla, T Abdeljawad, MA Alqudah - Fractals, 2024 - researchgate.net
A mathematical model of progressive disease of the nervous system also called multiple
sclerosis (MS) is studied in this manuscript. The proposed model is investigated under the …

[HTML][HTML] Study of COVID-19 mathematical model of fractional order via modified Euler method

G Nazir, A Zeb, K Shah, T Saeed, RA Khan… - Alexandria Engineering …, 2021 - Elsevier
Our main goal is to develop some results for transmission of COVID-19 disease through Bats-
Hosts-Reservoir-People (BHRP) mathematical model under the Caputo fractional order …

Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative

I Slimane, G Nazir, JJ Nieto, F Yaqoob - International Journal of …, 2023 - World Scientific
In this paper, we study a mathematical model of Hepatitis C Virus (HCV) infection. We
present a compartmental mathematical model involving healthy hepatocytes, infected …

Natural convection flow of a fluid using Atangana and Baleanu fractional model

S Aman, T Abdeljawad, Q Al-Mdallal - Advances in Difference Equations, 2020 - Springer
A modified fractional model for the magnetohydrodynamic (MHD) flow of a fluid is developed
utilizing Atangana–Baleanu fractional derivative (ABFD). Natural convection and wall …