[HTML][HTML] Analysis of a fractional-order chaotic system in the context of the Caputo fractional derivative via bifurcation and Lyapunov exponents

N Sene - Journal of King Saud University-Science, 2021 - Elsevier
This research focuses on the characterization of the chaotic behaviors, the hyperchaotic
behaviors, and the impact of the fractional-order derivative in a class of fractional chaotic …

[HTML][HTML] Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana–Baleanu fractional derivative

OT Kolebaje, OR Vincent, UE Vincent… - … in Nonlinear Science …, 2022 - Elsevier
We analyse the time-series evolution of the cumulative number of confirmed cases of COVID-
19, the novel coronavirus disease, for some African countries. We propose a mathematical …

An epidemiological approach to insurgent population modeling with the Atangana–Baleanu fractional derivative

O Kolebaje, O Popoola, MA Khan… - Chaos, Solitons & Fractals, 2020 - Elsevier
Insurgency is a large loophole to any nation's finances because of the monumental costs
associated with fighting it. In this study, an epidemiological approach to modeling the …

Dynamic behaviour and semi-analytical solution of nonlinear fractional-order Kuramoto–Sivashinsky equation

A Kumar - Pramana, 2024 - Springer
In this paper, we apply the fractional homotopy perturbation transform method (FHPTM) to
deliver an effective semi-analytical technique for determining fractional-order Kuramoto …

Multistability in a Fractional‐Order Centrifugal Flywheel Governor System and Its Adaptive Control

B Yan, S He, S Wang - Complexity, 2020 - Wiley Online Library
In this paper, a 4D fractional‐order centrifugal flywheel governor system is proposed.
Dynamics including the multistability of the system with the variation of system parameters …

Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions

H Sakariya, S Kumar - Journal of Mathematical Chemistry, 2024 - Springer
Abstract The Gray-Scott system describes one of the crucial components of the reaction-
diffusion system. Its mathematical model has a couple of non-linear partial differential …

Sliding mode control for fractional-order time-varying delay systems under external excitation

X Shi, Y Jin, X Zhou, C Wang - Journal of Vibration and …, 2023 - journals.sagepub.com
In this paper, by using Lyapunov–Krasovskii stability theory and linear matrix inequality
approach, the control problem for fractional-order systems under seismic waves with time …

[引用][C] Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana–Baleanu fractional derivative

U Vincent - 2021 - Elsevier