Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator

S Deepika, P Veeresha - Chaos, Solitons & Fractals, 2023 - Elsevier
The chaotic waterwheel model is a mechanical model that exhibits chaos and is also a
practical system that justifies the Lorenz system. The chaotic waterwheel model (or Malkus …

Modeling some real phenomena by fractional differential equations

R Almeida, NRO Bastos… - Mathematical Methods in …, 2016 - Wiley Online Library
This paper deals with fractional differential equations with dependence on a Caputo
fractional derivative of real order. The goal is to show, based on concrete examples and …

[图书][B] Discrete fractional calculus: applications in control and image processing

P Ostalczyk - 2015 - books.google.com
The main subject of the monograph is the fractional calculus in the discrete version. The
volume is divided into three main parts. Part one contains a theoretical introduction to the …

Multilevel image segmentation based on fractional-order Darwinian particle swarm optimization

P Ghamisi, MS Couceiro, FML Martins… - … on Geoscience and …, 2013 - ieeexplore.ieee.org
Hyperspectral remote sensing images contain hundreds of data channels. Due to the high
dimensionality of the hyperspectral data, it is difficult to design accurate and efficient image …

Caputo derivatives of fractional variable order: numerical approximations

D Tavares, R Almeida, DFM Torres - Communications in Nonlinear Science …, 2016 - Elsevier
We present a new numerical tool to solve partial differential equations involving Caputo
derivatives of fractional variable order. Three Caputo-type fractional operators are …

An efficient method for segmentation of images based on fractional calculus and natural selection

P Ghamisi, MS Couceiro, JA Benediktsson… - Expert Systems with …, 2012 - Elsevier
Image segmentation has been widely used in document image analysis for extraction of
printed characters, map processing in order to find lines, legends, and characters …

A novel fractional variable-order equivalent circuit model and parameter identification of electric vehicle Li-ion batteries

Q Zhang, Y Shang, Y Li, N Cui, B Duan, C Zhang - ISA transactions, 2020 - Elsevier
Accurate Li-ion battery modeling is integral to the design of effective battery management
systems in electric vehicles. However, the voltage–current (U–I) characteristic of Li-ion …

On fractional–order discrete–time systems: Chaos, stabilization and synchronization

AA Khennaoui, A Ouannas, S Bendoukha… - Chaos, Solitons & …, 2019 - Elsevier
In this paper, we propose three systems, namely the fractional Lozi map, the fractional
Lorenz map, and the fractional flow map. We study some of the important dynamics of these …

Results on finite time stability of various fractional order systems

SK Panda, V Vijayakumar - Chaos, Solitons & Fractals, 2023 - Elsevier
This article deals with the existence of the solution of Hilfer–Katugampola fractional
derivatives, and we prove the stability results of the equilibrium point of the presented …

A Clustering Approach for the l‐Diversity Model in Privacy Preserving Data Mining Using Fractional Calculus‐Bacterial Foraging Optimization Algorithm

PR Bhaladhare, DC Jinwala - Advances in Computer …, 2014 - Wiley Online Library
In privacy preserving data mining, the l‐diversity and k‐anonymity models are the most
widely used for preserving the sensitive private information of an individual. Out of these two …