Chaotic dynamics in a novel COVID-19 pandemic model described by commensurate and incommensurate fractional-order derivatives

N Debbouche, A Ouannas, IM Batiha, G Grassi - Nonlinear Dynamics, 2021 - Springer
Mathematical models based on fractional-order differential equations have recently gained
interesting insights into epidemiological phenomena, by virtue of their memory effect and …

Adaptive fuzzy backstepping secure control for incommensurate fractional order cyber–physical power systems under intermittent denial of service attacks

A Sharafian, I Ullah, SK Singh, A Ali, H Khan… - Chaos, Solitons & …, 2024 - Elsevier
This paper proposes a fuzzy adaptive control strategy, based on backstepping, for
incommensurate fractional-order power systems under denial-of-service (DoS) attacks. To …

Hidden multistability of fractional discrete non-equilibrium point memristor based map

MT Shatnawi, A Abbes, A Ouannas, IM Batiha - Physica Scripta, 2023 - iopscience.iop.org
At present, the multistability analysis in discrete nonlinear fractional-order systems is a
subject that is receiving a lot of attention. In this article, a new discrete non-equilibrium point …

Explicit analytical solutions of an incommensurate system of fractional differential equations in a fuzzy environment

M Akram, G Muhammad, T Allahviranloo - Information Sciences, 2023 - Elsevier
Fuzzy fractional models have attracted considerable attention because of their
comprehensive and broader understanding of real-world problems. Analytical studies of …

Fuzzy adaptive control for consensus tracking in multiagent systems with incommensurate fractional-order dynamics: Application to power systems

A Sharafian, A Ali, I Ullah, TR Khalifa, X Bai, L Qiu - Information Sciences, 2025 - Elsevier
This paper presents a novel approach to address the consensus tracking problem within a
class of incommensurate fractional-order nonlinear non-affine systems. Our method employs …

Investigation of fractional diabetes model involving glucose–insulin alliance scheme

SR Khirsariya, SB Rao, GS Hathiwala - International Journal of Dynamics …, 2024 - Springer
The ultimate aim of this study is to develop and analyze a comprehensive regulatory
framework for managing glucose and insulin in blood in the presence of diabetes mellitus …

Synchronization of incommensurate fractional-order chaotic systems based on linear feedback control

F Qi, J Qu, Y Chai, L Chen, AM Lopes - Fractal and Fractional, 2022 - mdpi.com
The dynamics and synchronization of fractional-order (FO) chaotic systems have received
much attention in recent years. However, the research are focused mostly on FO …

Incommensurate non-homogeneous system of fuzzy linear fractional differential equations using the fuzzy bunch of real functions

M Akram, G Muhammad, T Allahviranloo… - Fuzzy Sets and …, 2023 - Elsevier
This article aims to introduce and investigate the analytical fuzzy solution of the
incommensurate non-homogeneous system of fuzzy linear fractional differential equations …

Fractional-order financial system and fixed-time synchronization

Y He, J Peng, S Zheng - Fractal and Fractional, 2022 - mdpi.com
This study is concerned with the dynamic investigation and fixed-time synchronization of a
fractional-order financial system with the Caputo derivative. The rich dynamic behaviors of …

A new two-dimensional fractional discrete rational map: Chaos and complexity

MT Shatnawi, A Abbes, A Ouannas, IM Batiha - Physica Scripta, 2022 - iopscience.iop.org
In this paper, a new two-dimensional fractional-order discrete rational map with γth-Caputo
fractional difference operator is introduced. The study of the presence and stability of the …