Nonlinear dynamics of a piecewise modified ABC fractional-order leukemia model with symmetric numerical simulations

H Khan, J Alzabut, WF Alfwzan, H Gulzar - Symmetry, 2023 - mdpi.com
In this study, we introduce a nonlinear leukemia dynamical system for a piecewise modified
ABC fractional-order derivative and analyze it for the theoretical as well computational works …

Double color image encryption based on fractional order discrete improved Henon map and Rubik's cube transform

L Chen, H Yin, L Yuan, JAT Machado, R Wu… - Signal Processing: Image …, 2021 - Elsevier
A double color image encryption method based on DNA (deoxyribonucleic acid)
computation and chaos is proposed. Differently from the conventional algorithms, double …

A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations

L Chen, H Yin, L Yuan, AM Lopes… - Frontiers of Information …, 2020 - Springer
A novel color image encryption algorithm based on dynamic deoxyribonucleic acid (DNA)
encoding and chaos is presented. A three-neuron fractional-order discrete Hopfield neural …

Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system

P Gatabazi, JC Mba, E Pindza - Chaos, Solitons & Fractals, 2019 - Elsevier
Abstract Fractional Grey Lotka-Volterra Model with variable order is introduced and used for
modeling the transaction counts of three cryptocurrencies namely Bitcoin, Litecoin and …

Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system

E Balci, S Kartal, I Ozturk - Mathematical Modelling of Natural …, 2021 - mmnp-journal.org
In this paper, we analyze the dynamical behavior of the delayed fractional-order tumor
model with Caputo sense and discretized conformable fractional-order tumor model. The …

Analytic numeric solution of coronavirus (COVID-19) pandemic model in fractional-order

AE Owoyemi, IM Sulaiman, M Mamat, SE Olowo… - Commun. Math. Biol …, 2020 - scik.org
In this paper, we consider the coronavirus (COVID-19) pandemic model. The fractional
ordinary differential equations were defined in the sense of the Caputo derivative. Adams …

On the order reduction of approximations of fractional derivatives: an explanation and a cure

BA Jacobs, F Laurén, J Nordström - BIT Numerical Mathematics, 2023 - Springer
Finite-difference based approaches are common for approximating the Caputo fractional
derivative. Often, these methods lead to a reduction of the convergence rate that depends on …

Fractional modeling for quantitative inversion of Soil-Available phosphorus content

C Fu, H Xiong, A Tian - Mathematics, 2018 - mdpi.com
The study of field spectra based on fractional-order differentials has rarely been reported,
and traditional integer-order differentials only perform the derivative calculation for 1st-order …

一种基于离散分数阶混沌系统和DNA 序列运算的新型彩色图像加密算法

L Chen, H Yin, L Yuan, AM Lopes, JAT Machado, R Wu… - Frontiers, 2020 - jzus.zju.edu.cn
提出一种基于动态DNA 编码和混沌的新型彩色图像加密算法. 将一个三神经元分数阶离散
Hopfield 神经网络作为伪随机混沌序列发生器. 其初值由外部输入的五位密钥以及明文图像的哈 …

Conformable fractional order COVID-19 model: Discretization and stability analysis

AR Meshram, VC Borkar… - AIP Conference …, 2023 - pubs.aip.org
The comparative study has been done on the COVID–19 mathematical model to discuss the
discretization process using two fractional operators namely Caputo and Conformable. We …