[HTML][HTML] A review on epidemic models in sight of fractional calculus

KS Nisar, M Farman, M Abdel-Aty, J Cao - Alexandria Engineering Journal, 2023 - Elsevier
Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

[HTML][HTML] A review of fractional order epidemic models for life sciences problems: Past, present and future

KS Nisar, M Farman, M Abdel-Aty… - Alexandria Engineering …, 2024 - Elsevier
Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

A Atangana, S Qureshi - Chaos, solitons & fractals, 2019 - Elsevier
In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …

[HTML][HTML] Modelling and analysis of fractal-fractional partial differential equations: application to reaction-diffusion model

KM Owolabi, A Atangana, A Akgul - Alexandria Engineering Journal, 2020 - Elsevier
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has
been applied to a number of ordinary differential equations to model a system of partial …

Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu

S Qureshi, A Yusuf - Chaos, Solitons & Fractals, 2019 - Elsevier
This research study is conducted with the aim of getting analysis based upon four different
types of frequently used models of ordinary differential equations related to the chickenpox …

Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data

S Qureshi, A Atangana - Chaos, Solitons & Fractals, 2020 - Elsevier
In connection with issues pertinent with humans' health, it is highly significant to
comprehend the complex dynamics of the related infectious disease since the non …

Fractional derivatives applied to MSEIR problems: Comparative study with real world data

S Qureshi, A Yusuf - The European Physical Journal Plus, 2019 - Springer
In the present study, an epidemiological model (MSEIR) of varicella disease outbreak, also
called the chickenpox, among school children in the Shenzhen city of China in 2015 is …

Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel

Z Ahmad, G Bonanomi, D di Serafino… - Applied Numerical …, 2023 - Elsevier
Pine wilt disease is caused by nematodes transmitted by pine sawyer beetles and is fatal for
several pine species. The trees might be destroyed within a few months after being attacked …

Mathematical modeling of pine wilt disease with Caputo fractional operator

A Yusuf, B Acay, UT Mustapha, M Inc… - Chaos, Solitons & …, 2021 - Elsevier
In this work, we investigate the transmission dynamics of pine wilt disease infection and
developed a new model utilizing Caputo fractional-order derivative. Moreover, with the use …

Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo–Fabrizio derivative

AMS Mahdy - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this study, fractional order is applied to the glioblastoma multiforme (GBM) and IS
interaction models. The monoclonal brain tumor GBM gives rise to other tumors with varying …