Is fractional-order chaos theory the new tool to model chaotic pandemics as Covid-19?

M Borah, A Gayan, JS Sharma, YQ Chen, Z Wei… - Nonlinear …, 2022 - Springer
The deadly outbreak of the second wave of Covid-19, especially in worst hit lower-middle-
income countries like India, and the drastic rise of another growing epidemic of …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

Vibration suppression using a mechatronic PDD-ISD-combined vehicle suspension system

Y Shen, M Jia, X Yang, Y Liu, L Chen - International Journal of Mechanical …, 2023 - Elsevier
In this paper, the performance of a novel power-driven-damper (PDD) and inerter-spring-
damper (ISD) combined suspension system for a quarter-car model is investigated to …

A novel algorithm on adaptive backstepping control of fractional order systems

Y Wei, Y Chen, S Liang, Y Wang - Neurocomputing, 2015 - Elsevier
This article presents a new method of designing the adaptive backstepping controller for
triangular fractional order systems with non-commensurate orders. The fractional order …

Synchronizability of duplex networks

Y Li, X Wu, J Lu, J Lü - … Transactions on Circuits and Systems II …, 2015 - ieeexplore.ieee.org
This brief presents some rules and properties about synchronizability of duplex networks
composed of two networks interconnected by two links. For a specific duplex network …

[HTML][HTML] Lyapunov stability analysis of fractional nonlinear systems

S Liu, W Jiang, X Li, XF Zhou - Applied Mathematics Letters, 2016 - Elsevier
Lyapunov direct method provides a very effective approach to analyze stability of nonlinear
systems, however, the well-known Leibniz rule is not suitable for fractional derivatives. This …

Suboptimal control of fractional-order dynamic systems with delay argument

A Jajarmi, D Baleanu - Journal of Vibration and Control, 2018 - journals.sagepub.com
In this paper, an efficient linear programming formulation is proposed for a class of fractional-
order optimal control problems with delay argument. By means of the Lagrange multiplier in …

Fuzzy neural network-based chaos synchronization for a class of fractional-order chaotic systems: an adaptive sliding mode control approach

RM Wang, YN Zhang, YQ Chen, X Chen, L Xi - Nonlinear Dynamics, 2020 - Springer
This paper deals with chaos synchronization problem between two different uncertain
fractional-order (FO) chaotic systems with disturbance based on FO Lyapunov stability …

Adaptive pinning synchronization in fractional-order uncertain complex dynamical networks with delay

S Liang, R Wu, L Chen - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
Based on the stability theory of fractional-order systems, synchronization of general
fractional-order uncertain complex networks with delay is investigated in this paper. By the …

Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system

B Xu, D Chen, H Zhang, F Wang - Chaos, Solitons & Fractals, 2015 - Elsevier
In this paper, a fractional order mathematical model of a hydro-turbine governing system is
presented to analyze the dynamic stability of the hydro-turbine governing system in the …