Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing …

B Maayah, OA Arqub, S Alnabulsi, H Alsulami - Chinese Journal of Physics, 2022 - Elsevier
Recently, it has become critical to attempt to recognize diseases with high death rates
around the world like infectious diseases and cancer. As a result, modeling in mathematics …

Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells

PA Naik, KM Owolabi, M Yavuz, J Zu - Chaos, Solitons & Fractals, 2020 - Elsevier
Mathematical models in epidemiology have been studied in the literature to understand the
mechanism that underlies AIDS-related cancers, providing us with a better insight towards …

A fractional mathematical model of heartwater transmission dynamics considering nymph and adult amblyomma ticks

JKK Asamoah - Chaos, Solitons & Fractals, 2023 - Elsevier
Heartwater is a tick-borne illness that affects ruminants and is carried by the amblyomma
ticks. The condition may sometimes be deadly. This paper studies the Caputo fractional …

European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels

M Yavuz - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

Analysis of hepatitis B disease with fractal–fractional Caputo derivative using real data from Turkey

S Uçar - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Scholars and analysts have been increasingly focusing on the concept of modeling
contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one …

Transmission of Nipah virus dynamics under Caputo fractional derivative

F Evirgen - Journal of Computational and Applied Mathematics, 2023 - Elsevier
The purpose of this paper is to bring a numerical model of the Nipah virus (NiV) into focus for
tracing the fractional order derivative's influence on the manner in which the model …

A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives

E Uçar, N Özdemir - The European Physical Journal Plus, 2021 - Springer
Recently, it is important to try to understand diseases with large mortality rates worldwide,
such as infectious disease and cancer. For this reason, mathematical modeling can be used …

[HTML][HTML] A robust study on the listeriosis disease by adopting fractal-fractional operators

E Bonyah, M Yavuz, D Baleanu, S Kumar - Alexandria Engineering Journal, 2022 - Elsevier
Listeriosis is one of the zoonotic diseases affecting most parts of the Sub-Saharan countries.
The infection is often transmitted by eating and it can also pass by respiratory and direct …

Fractional epidemic model of coronavirus disease with vaccination and crowding effects

S Saleem, M Rafiq, N Ahmed, MS Arif, A Raza… - Scientific Reports, 2024 - nature.com
Most of the countries in the world are affected by the coronavirus epidemic that put people in
danger, with many infected cases and deaths. The crowding factor plays a significant role in …

Analysis of an epidemic spreading model with exponential decay law

M Yavuz, N Özdemir - Mathematical Sciences and Applications E …, 2020 - dergipark.org.tr
Mathematical modeling of infectious diseases has shown that combinations of isolation,
quarantine, vaccine, and treatment are often necessary in order to eliminate most infectious …