A new hyperchaotic map based on discrete memristor and meminductor: dynamics analysis, encryption application, and DSP implementation

X Liu, J Mou, Y Zhang, Y Cao - IEEE Transactions on Industrial …, 2023 - ieeexplore.ieee.org
At present, discrete memristor is a focus of chaotic mapping. However, the study of discrete
memcapacitor and discrete meminductor has not begun. In order to study the dynamics of …

Fractional order chaotic systems: history, achievements, applications, and future challenges

MS Tavazoei - The European Physical Journal Special Topics, 2020 - Springer
Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

[图书][B] Fractional-order nonlinear systems: modeling, analysis and simulation

I Petráš - 2011 - books.google.com
" Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …

MHD flow of time-fractional Casson nanofluid using generalized Fourier and Fick's laws over an inclined channel with applications of gold nanoparticles

J Shah, F Ali, N Khan, Z Ahmad, S Murtaza, I Khan… - Scientific Reports, 2022 - nature.com
Gold nanoparticles are commonly used as a tracer in laboratories. They are biocompatible
and can transport heat energy to tumor cells via a variety of clinical techniques. As cancer …

A time fractional model of generalized Couette flow of couple stress nanofluid with heat and mass transfer: applications in engine oil

F Ali, Z Ahmad, M Arif, I Khan, KS Nisar - IEEE Access, 2020 - ieeexplore.ieee.org
The aim of this study is to obtain the closed form solutions for the laminar and unsteady
couple stress fluid flow. The fluid is allowed to flow between two infinite parallel plates …

Adaptive fractional‐order non‐singular fast terminal sliding mode control for robot manipulators

D Nojavanzadeh… - IET Control Theory & …, 2016 - Wiley Online Library
In this study, an adaptive fractional‐order terminal sliding mode controller is proposed for
controlling robot manipulators with uncertainties and external disturbances. An adaptive …

[HTML][HTML] Numerical solution of fractional differential equations using the generalized block pulse operational matrix

Y Li, N Sun - Computers & Mathematics with Applications, 2011 - Elsevier
The Riemann–Liouville fractional integral for repeated fractional integration is expanded in
block pulse functions to yield the block pulse operational matrices for the fractional order …

Fractional order fixed-time nonsingular terminal sliding mode synchronization and control of fractional order chaotic systems

J Ni, L Liu, C Liu, X Hu - Nonlinear dynamics, 2017 - Springer
This paper presents fractional order fixed-time nonsingular terminal sliding mode control for
stabilization and synchronization of fractional order chaotic systems with uncertainties and …

A proof for non existence of periodic solutions in time invariant fractional order systems

MS Tavazoei, M Haeri - Automatica, 2009 - Elsevier
The aim of this note is to highlight one of the basic differences between fractional order and
integer order systems. It is analytically shown that a time invariant fractional order system …

Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators

P Chen, X Zhang, Y Li - Fractional Calculus and Applied Analysis, 2020 - degruyter.com
In this article, we are concerned with the existence of mild solutions as well as approximate
controllability for a class of fractional evolution equations with nonlocal conditions in Banach …