Chaos Solitons & Fractals

Article	Citations
Applications of machine learning and artificial intelligence for Covid-19 (SARS-CoV-2) pandemic: A review	563
A SIR model assumption for the spread of COVID-19 in different communities	501
Predictions for COVID-19 with deep learning models of LSTM, GRU and Bi-LSTM	471
Application of deep learning for fast detection of COVID-19 in X-Rays using nCOVnet	456
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study	349
Modeling and forecasting the COVID-19 pandemic in India	346
A deep learning and grad-CAM based color visualization approach for fast detection of COVID-19 cases using chest X-ray and CT-Scan images	331
CoroDet: A deep learning based classification for COVID-19 detection using chest X-ray images	301
COVID-ABS: An agent-based model of COVID-19 epidemic to simulate health and economic effects of social distancing interventions	291
Recognition of COVID-19 disease from X-ray images by hybrid model consisting of 2D curvelet transform, chaotic salp swarm algorithm and deep learning technique	289
A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control	282
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative	274
Prediction and analysis of COVID-19 positive cases using deep learning models: A descriptive case study of India	262
Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia	259
Convolutional capsnet: A novel artificial neural network approach to detect COVID-19 disease from X-ray images using capsule networks	248
Comparison of deep learning approaches to predict COVID-19 infection	231
Prediction of epidemic trends in COVID-19 with logistic model and machine learning technics	231
A mathematical model for COVID-19 transmission dynamics with a case study of India	203
Time series forecasting of Covid-19 using deep learning models: India-USA comparative case study	192
Diagnosis and detection of infected tissue of COVID-19 patients based on lung x-ray image using convolutional neural network approaches	184
Comparative analysis and forecasting of COVID-19 cases in various European countries with ARIMA, NARNN and LSTM approaches	177
A new study of unreported cases of 2019-nCOV epidemic outbreaks	173
Modeling the impact of non-pharmaceutical interventions on the dynamics of novel coronavirus with optimal control analysis with a case study	171
Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria	167
A new adaptive synchronization and hyperchaos control of a biological snap oscillator	161

Association between weather data and COVID-19 pandemic predicting mortality rate: Machine learning approaches	159
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment	157
Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique	156
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images	155
Time Series Analysis and Forecast of the COVID-19 Pandemic in India using Genetic Programming	153
New concept in calculus: Piecewise differential and integral operators	152
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method	150
Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana	147
Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak	145
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells	144
The impact of COVID-19 pandemic upon stability and sequential irregularity of equity and cryptocurrency markets	140
Fractional order mathematical modeling of COVID-19 transmission	138
Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control	138
Role of intelligent computing in COVID-19 prognosis: A state-of-the-art review	136
Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan	129
Double image encryption algorithm based on neural network and chaos	128
Analysis on novel coronavirus (COVID-19) using machine learning methods	125
Robustness of LSTM neural networks for multi-step forecasting of chaotic time series	124
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation	122
Applications of artificial intelligence in battling against covid-19: A literature review	120
Neural network powered COVID-19 spread forecasting model	120
Analysis of Spatial Spread Relationships of Coronavirus (COVID-19) Pandemic in the World using Self Organizing Maps	119
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation	118
A python based support vector regression model for prediction of COVID19 cases in India	117
Time series prediction for the epidemic trends of COVID-19 using the improved LSTM deep learning method: Case studies in Russia, Peru and Iran	116
Spatio-temporal estimation of the daily cases of COVID-19 in worldwide using random forest machine learning algorithm	116
Prediction of COVID-19 confirmed cases combining deep learning methods and Bayesian optimization	113
Forecasting of COVID-19 using deep layer Recurrent Neural Networks (RNNs) with Gated Recurrent Units (GRUs) and Long Short-Term Memory (LSTM) cells	113
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation	113
Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption	112
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization	112
Modeling and prediction of COVID-19 in Mexico applying mathematical and computational models	111
Stochastic resonance in a metal-oxide memristive device	110
Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system	110
Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China	106
Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic	104
Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique	103
Fractional Hausdorff grey model and its properties	101
Analysis of fractional blood alcohol model with composite fractional derivative	101
Forecasting of COVID-19 time series for countries in the world based on a hybrid approach combining the fractal dimension and fuzzy logic	100
Analysis of spatiotemporal characteristics of big data on social media sentiment with COVID-19 epidemic topics	99
Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model	99
A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus	99
An efficient computational approach for a fractional-order biological population model with carrying capacity	98
Perturbation of chirped localized waves in a dual-power law nonlinear medium	98
A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws	97
Automatic distinction between COVID-19 and common pneumonia using multi-scale convolutional neural network on chest CT scans	95
On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller	94
Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model	94
Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers	93

The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows	93
Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version	92
Highly dispersive optical solitons of equation with various polynomial nonlinearity law	92
Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives	92
Intelligent skin cancer detection applying autoencoder, MobileNetV2 and spiking neural networks	92
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber	91
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability	90
Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions	90
Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population	89
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation	89
Forecasting Brazilian and American COVID-19 cases based on artificial intelligence coupled with climatic exogenous variables	89
Modeling and prediction of COVID-19 pandemic using Gaussian mixture model	89
Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network	88
A hybrid multi-scale model of COVID-19 transmission dynamics to assess the potential of non-pharmaceutical interventions	88
Time series prediction of COVID-19 by mutation rate analysis using recurrent neural network-based LSTM model	88
Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative	87
A survey on artificial intelligence approaches in supporting frontline workers and decision makers for the COVID-19 pandemic	86
Parameter estimation of uncertain differential equation with application to financial market	86
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation	85
On forecasting the spread of the COVID-19 in Iran: The second wave	85
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives	85
Delayed hepatitis B epidemic model with stochastic analysis	84
Coupled neurons with multi-objective optimization benefit incipient fault identification of machinery	84
An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model	84
A hybrid analytical and numerical analysis of ultra-short pulse phase shifts	83
A new fractional-order chaos system of Hopfield neural network and its application in image encryption	83
An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics	83
An empirical overview of nonlinearity and overfitting in machine learning using COVID-19 data	82
Data analysis of Covid-19 pandemic and short-term cumulative case forecasting using machine learning time series methods	82
A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption	82
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence	81
Modeling COVID-19 epidemic in Heilongjiang province, China	81
On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control	81
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation	80
Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study	80
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model	80
Study of ARIMA and least square support vector machine (LS-SVM) models for the prediction of SARS-CoV-2 confirmed cases in the most affected countries	78
Design and realization of discrete memristive hyperchaotic map with application in image encryption	78
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images	78
A chaotic circuit based on a physical memristor	78
Optimal Control Design of Impulsive SQEIAR Epidemic Models with Application to COVID-19	77
On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions	77
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19	77
A novel CFD analysis to minimize the spread of COVID-19 virus in hospital isolation room	76
A new fractal pattern feature generation function based emotion recognition method using EEG	75
Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness	75
Modeling of measles epidemic with optimized fractional order under Caputo differential operator	75
Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map	75
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations	74
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain	74
A mathematical study on the spread of COVID-19 considering social distancing and rapid assessment: The case of Jakarta, Indonesia	73
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective	73
A new one-dimensional chaotic system with applications in image encryption	73
Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil	72
Bibliometric method for mapping the state of the art of scientific production in Covid-19	72
A New Attractive Analytic Approach for Solutions of Linear and Nonlinear Neutral Fractional Pantograph Equations	72
Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit	72
Optimization of micromixer with Cantor fractal baffle based on simulated annealing algorithm	72
Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks	71
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications	71
Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model	71
Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis	71
An image encryption algorithm based on dynamic row scrambling and Zigzag transformation	71
Non-fractional and fractional mathematical analysis and simulations for Q fever	71
What is the most suitable Lyapunov function?	70
A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus	70
Forecasting Chinese carbon emissions using a novel grey rolling prediction model	70
Computational study on the dynamics of fractional order differential equations with applications	69
Analysis for fractional dynamics of Ebola virus model	69
Complex dynamics of Kopel model with nonsymmetric response between oligopolists	69
The dynamics of epidemic spreading on signed networks	69
Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption	68
Forecasting COVID-19 pandemic: A data-driven analysis	68
A new link prediction in multiplex networks using topologically biased random walks	68
Application of a novel fractional grey prediction model with time power term to predict the electricity consumption of India and China	68
Mathematical modeling of pine wilt disease with Caputo fractional operator	68
Logistic equation and COVID-19	67
The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction	67
Forecasting spread of COVID-19 using google trends: A hybrid GWO-deep learning approach	67
Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type	67

Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay	66
Image encryption algorithm based on hyperchaotic system and a new DNA sequence operation	66
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	66
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems	64
Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow water wave equations with their stability	63
Partial derivative Nonlinear Global Pandemic Machine Learning prediction of COVID 19	63
Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics	62
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects	62
Fractional model of COVID-19 applied to Galicia, Spain and Portugal	62
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network	62
New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives	62
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus	62
Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (	62
Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain	61
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mech	61
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system	61
Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method	61
An epidemic model SIPHERD and its application for prediction of the spread of COVID-19 infection in India	61
Forecasting the cumulative number of confirmed cases of COVID-19 in Italy, UK and USA using fractional nonlinear grey Bernoulli model	61
Projections and fractional dynamics of COVID-19 with optimal control strategies	61
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom	61
A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application	61
Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries	60
Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems	60
Dispersion entropy-based Lempel-Ziv complexity: A new metric for signal analysis	60
Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method	59
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models	59
Estimating the parameters of susceptible-infected-recovered model of COVID-19 cases in India during lockdown periods	59
Investigating the dynamics of COVID-19 pandemic in India under lockdown	59
Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme	59
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces	59
Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation	59
Simulation and experimental validation of a non-equilibrium chaotic system	58
Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential	58
Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model	58
Grid-scroll memristive chaotic system with application to image encryption	58
Chaos based optics inspired optimization algorithms as global solution search approach	58
Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative	57
Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number	57
Dynamic analysis of a mathematical model with health care capacity for COVID-19 pandemic	57
A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative	57
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps	57
An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast	56
Simple colour image cryptosystem with very high level of security	56
Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system	56
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation	56
Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation	56
Forecasting the patterns of COVID-19 and causal impacts of lockdown in top five affected countries using Bayesian Structural Time Series Models	56
Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension	55
Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers	55
Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays	55
New chaotic memristive cellular neural network and its application in secure communication system	55
A numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China	55
An Emotion Care Model using Multimodal Textual Analysis on COVID-19	55
Designing a bidirectional, adaptive neural interface incorporating machine learning capabilities and memristor-enhanced hardware	54
A memristive chaotic oscillator with controllable amplitude and frequency	54
Application of different hybrid nanofluids in convective heat transport of Carreau fluid	54
A fractional order Zika virus model with Mittag–Leffler kernel	54
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems	54
Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative	53
On fractal-fractional Covid-19 mathematical model	53
Memristor-coupled asymmetric neural networks: Bionic modeling, chaotic dynamics analysis and encryption application	53
Nonlinear biological population model; computational and numerical investigations	53
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects	53
Computational solutions of the HIV-1 infection of CD4+T-cells frac	52
Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain	52
New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators	52
A fractional-order model for COVID-19 and tuberculosis co-infection using Atangana–Baleanu derivative	52
A fractional-order differential equation model of COVID-19 infection of epithelial cells	52
Fixed-time Synchronization of Coupled Memristive Complex-valued Neural Networks	52
Reinforcement learning-based decentralized fault tolerant control for constrained interconnected nonlinear systems	52
SIRSi compartmental model for COVID-19 pandemic with immunity loss	51
Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★	51
Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation	51
Determinants of the infection rate of the COVID-19 in the U.S. using ANFIS and virus optimization algorithm (VOA)	51
Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation	50
Nonparaxial pulse propagation in a planar waveguide with Kerr–like and quintic nonlinearities; computational simulations	50
Lyapunov functions for fractional-order systems in biology: Methods and applications	50
High-efficiency chaotic time series prediction based on time convolution neural network	50
Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method	50
Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors	50
Data science and the role of Artificial Intelligence in achieving the fast diagnosis of Covid-19	49
Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN	49
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota–Satsuma–Ito system: X-type soliton, resonant Y-type soliton and hybrid solutions	49
Evaluation and prediction of COVID-19 in India: A case study of worst hit states	49
A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel	49
Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficie	49
Analysis and visualization of accidents severity based on LightGBM-TPE	49
Modeling and optimal control of mutated COVID-19 (Delta strain) with imperfect vaccination	48
Novel approximate analytical and numerical cylindrical rogue wave and breathers solutions: An application to electronegative plasma	48
Results on the existence and controllability of fractional integro-differential system of order 1 < r < 2 via measure of noncompactness	48
A generalized gravity model for influential spreaders identification in complex networks	48
Solutions to fractional neutral delay differential nonlocal systems	48
Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation	48
Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium	48