Chaos Solitons & Fractals

Article	Citations
Applications of machine learning and artificial intelligence for Covid-19 (SARS-CoV-2) pandemic: A review	551
A SIR model assumption for the spread of COVID-19 in different communities	480
Application of deep learning for fast detection of COVID-19 in X-Rays using nCOVnet	448
Predictions for COVID-19 with deep learning models of LSTM, GRU and Bi-LSTM	446
Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?	394
Modeling and forecasting the COVID-19 pandemic in India	340
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study	333
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	317
COVID-ABS: An agent-based model of COVID-19 epidemic to simulate health and economic effects of social distancing interventions	290
CoroDet: A deep learning based classification for COVID-19 detection using chest X-ray images	289
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	287
A model based study on the dynamics of COVID-19: Prediction and control	276
A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control	274
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative	258
Prediction and analysis of COVID-19 positive cases using deep learning models: A descriptive case study of India	255
Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia	250
Convolutional capsnet: A novel artificial neural network approach to detect COVID-19 disease from X-ray images using capsule networks	242
Prediction of epidemic trends in COVID-19 with logistic model and machine learning technics	224
Comparison of deep learning approaches to predict COVID-19 infection	222
A mathematical model for COVID-19 transmission dynamics with a case study of India	199
Time series forecasting of Covid-19 using deep learning models: India-USA comparative case study	190
Diagnosis and detection of infected tissue of COVID-19 patients based on lung x-ray image using convolutional neural network approaches	180
Comparative analysis and forecasting of COVID-19 cases in various European countries with ARIMA, NARNN and LSTM approaches	173
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	164

Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria	161
A new adaptive synchronization and hyperchaos control of a biological snap oscillator	157
Association between weather data and COVID-19 pandemic predicting mortality rate: Machine learning approaches	153
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images	153
Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique	151
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment	150
Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana	145
Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak	144
New concept in calculus: Piecewise differential and integral operators	144
Time Series Analysis and Forecast of the COVID-19 Pandemic in India using Genetic Programming	142
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method	140
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells	139
The impact of COVID-19 pandemic upon stability and sequential irregularity of equity and cryptocurrency markets	137
Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control	136
A discrete memristor model and its application in Hénon map	134
Fractional order mathematical modeling of COVID-19 transmission	133
Role of intelligent computing in COVID-19 prognosis: A state-of-the-art review	133
Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan	127
Analysis on novel coronavirus (COVID-19) using machine learning methods	123
Applications of artificial intelligence in battling against covid-19: A literature review	122
Double image encryption algorithm based on neural network and chaos	119
Analysis of Spatial Spread Relationships of Coronavirus (COVID-19) Pandemic in the World using Self Organizing Maps	118
Neural network powered COVID-19 spread forecasting model	117
Robustness of LSTM neural networks for multi-step forecasting of chaotic time series	117
A python based support vector regression model for prediction of COVID19 cases in India	117
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation	116
Mathematical analysis of a fractional differential model of HBV infection with antibody immune response	116
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation	115
Time series prediction for the epidemic trends of COVID-19 using the improved LSTM deep learning method: Case studies in Russia, Peru and Iran	114
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation	111
Spatio-temporal estimation of the daily cases of COVID-19 in worldwide using random forest machine learning algorithm	111
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization	111
Forecasting of COVID-19 using deep layer Recurrent Neural Networks (RNNs) with Gated Recurrent Units (GRUs) and Long Short-Term Memory (LSTM) cells	110
SIR epidemic model with Mittag–Leffler fractional derivative	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	109
Analysis of the impact of COVID-19 on the correlations between crude oil and agricultural futures	109
Stochastic resonance in a metal-oxide memristive device	109
Prediction of COVID-19 confirmed cases combining deep learning methods and Bayesian optimization	108
Modeling and prediction of COVID-19 in Mexico applying mathematical and computational models	108
Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic	104
Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data	104
Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China	104
Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption	101
Analysis of fractional blood alcohol model with composite fractional derivative	100
Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model	99
Fractional Hausdorff grey model and its properties	98
Forecasting of COVID-19 time series for countries in the world based on a hybrid approach combining the fractal dimension and fuzzy logic	97
Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique	96
Analysis of spatiotemporal characteristics of big data on social media sentiment with COVID-19 epidemic topics	95
An efficient computational approach for a fractional-order biological population model with carrying capacity	94

Optimal policies for control of the novel coronavirus disease (COVID-19) outbreak	93
A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws	93
A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus	93
Automatic distinction between COVID-19 and common pneumonia using multi-scale convolutional neural network on chest CT scans	92
Perturbation of chirped localized waves in a dual-power law nonlinear medium	92
Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model	92
Characterization of the COVID-19 pandemic and the impact of uncertainties, mitigation strategies, and underreporting of cases in South Korea, Italy, and Brazil	90
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber	90
Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives	90
Highly dispersive optical solitons of equation with various polynomial nonlinearity law	90
Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers	88
On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller	88
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability	87
Modeling and prediction of COVID-19 pandemic using Gaussian mixture model	87
Time series prediction of COVID-19 by mutation rate analysis using recurrent neural network-based LSTM model	87
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives	87
Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version	87
Forecasting Brazilian and American COVID-19 cases based on artificial intelligence coupled with climatic exogenous variables	86
Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative	86
Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population	86
Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions	85
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation	85
Intelligent skin cancer detection applying autoencoder, MobileNetV2 and spiking neural networks	85
A hybrid multi-scale model of COVID-19 transmission dynamics to assess the potential of non-pharmaceutical interventions	85
A survey on artificial intelligence approaches in supporting frontline workers and decision makers for the COVID-19 pandemic	85
On forecasting the spread of the COVID-19 in Iran: The second wave	84
Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network	83
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation	83
Modeling COVID-19 epidemic in Heilongjiang province, China	81
A hybrid analytical and numerical analysis of ultra-short pulse phase shifts	81
The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows	80
Parameter estimation of uncertain differential equation with application to financial market	80
On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control	80
Delayed hepatitis B epidemic model with stochastic analysis	80
An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics	79
Data analysis of Covid-19 pandemic and short-term cumulative case forecasting using machine learning time series methods	79
COVID-19 spreading in Rio de Janeiro, Brazil: Do the policies of social isolation really work?	79
An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model	79
Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study	78
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence	78
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model	78
An empirical overview of nonlinearity and overfitting in machine learning using COVID-19 data	78
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	76
Coupled neurons with multi-objective optimization benefit incipient fault identification of machinery	76
On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions	76
A novel CFD analysis to minimize the spread of COVID-19 virus in hospital isolation room	76
Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise	76
Design and realization of discrete memristive hyperchaotic map with application in image encryption	75
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation	75
A chaotic circuit based on a physical memristor	75
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19	75
A new fractional-order chaos system of Hopfield neural network and its application in image encryption	75
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain	74
A new fractal pattern feature generation function based emotion recognition method using EEG	73
Optimal Control Design of Impulsive SQEIAR Epidemic Models with Application to COVID-19	72
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images	72
A mathematical study on the spread of COVID-19 considering social distancing and rapid assessment: The case of Jakarta, Indonesia	72
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity	72
Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness	72
Bibliometric method for mapping the state of the art of scientific production in Covid-19	71
Modeling of measles epidemic with optimized fractional order under Caputo differential operator	71
Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks	71
Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil	71
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations	71
A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption	71
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective	70
A New Attractive Analytic Approach for Solutions of Linear and Nonlinear Neutral Fractional Pantograph Equations	70
Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit	70
Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model	70
An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment	69
A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus	69
Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map	69
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications	69
Optimization of micromixer with Cantor fractal baffle based on simulated annealing algorithm	69
Forecasting Chinese carbon emissions using a novel grey rolling prediction model	68
A new one-dimensional chaotic system with applications in image encryption	68
What is the most suitable Lyapunov function?	68
Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis	68
Forecast and evaluation of COVID-19 spreading in USA with reduced-space Gaussian process regression	68
Analysis for fractional dynamics of Ebola virus model	68

Forecasting COVID-19 pandemic: A data-driven analysis	67
Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type	67
Computational study on the dynamics of fractional order differential equations with applications	67
An image encryption algorithm based on dynamic row scrambling and Zigzag transformation	67
Complex dynamics of Kopel model with nonsymmetric response between oligopolists	66
The dynamics of epidemic spreading on signed networks	66
Application of a novel fractional grey prediction model with time power term to predict the electricity consumption of India and China	66
The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction	66
Non-fractional and fractional mathematical analysis and simulations for Q fever	66
Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption	65
Forecasting spread of COVID-19 using google trends: A hybrid GWO-deep learning approach	65
Mathematical modeling of pine wilt disease with Caputo fractional operator	65
Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay	65
A new link prediction in multiplex networks using topologically biased random walks	65
Logistic equation and COVID-19	64
Partial derivative Nonlinear Global Pandemic Machine Learning prediction of COVID 19	62
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus	61
Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate	61
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom	60
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces	60
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems	60
Projections and fractional dynamics of COVID-19 with optimal control strategies	60
Forecasting the cumulative number of confirmed cases of COVID-19 in Italy, UK and USA using fractional nonlinear grey Bernoulli model	60
New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives	60
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	60
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	60
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system	60
A multi-group SEIRA model for the spread of COVID-19 among heterogeneous populations	60
Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (	60
Fractional model of COVID-19 applied to Galicia, Spain and Portugal	60
Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems	60
Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics	59
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects	59
Estimating the parameters of susceptible-infected-recovered model of COVID-19 cases in India during lockdown periods	59
Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method	58
Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme	58
Investigating the dynamics of COVID-19 pandemic in India under lockdown	58
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network	58
Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries	58
An epidemic model SIPHERD and its application for prediction of the spread of COVID-19 infection in India	58
Image encryption algorithm based on hyperchaotic system and a new DNA sequence operation	57
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models	57
Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model	57
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps	57
Dispersion entropy-based Lempel-Ziv complexity: A new metric for signal analysis	57
Chaos based optics inspired optimization algorithms as global solution search approach	57
Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative	56
SBDiEM: A new mathematical model of infectious disease dynamics	56
Dynamic analysis of a mathematical model with health care capacity for COVID-19 pandemic	56
A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative	56
Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain	56
Simulation and experimental validation of a non-equilibrium chaotic system	56
An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast	55
An Emotion Care Model using Multimodal Textual Analysis on COVID-19	55
Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential	55
Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation	55
Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system	54
Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays	54
Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method	54
Forecasting the patterns of COVID-19 and causal impacts of lockdown in top five affected countries using Bayesian Structural Time Series Models	54
Simple colour image cryptosystem with very high level of security	54
Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number	54
A numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China	53
Designing a bidirectional, adaptive neural interface incorporating machine learning capabilities and memristor-enhanced hardware	53
Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative	53
Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow water wave equations with their stability	53
Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers	53
Nonlinear biological population model; computational and numerical investigations	52
Fixed-time Synchronization of Coupled Memristive Complex-valued Neural Networks	52
Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms	52
Computational solutions of the HIV-1 infection of CD4+T-cells fra	52
A fractional order Zika virus model with Mittag–Leffler kernel	52
On fractal-fractional Covid-19 mathematical model	52
Application of different hybrid nanofluids in convective heat transport of Carreau fluid	52
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation	52
Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation	51
A memristive chaotic oscillator with controllable amplitude and frequency	51
Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★	51
Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension	51
Determinants of the infection rate of the COVID-19 in the U.S. using ANFIS and virus optimization algorithm (VOA)	51
Grid-scroll memristive chaotic system with application to image encryption	50
New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators	50
Nonparaxial pulse propagation in a planar waveguide with Kerr–like and quintic nonlinearities; computational simulations	50
A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application	50
Synchronization of fractional time-delayed financial system using a novel type-2 fuzzy active control method	50
New chaotic memristive cellular neural network and its application in secure communication system	50
Lyapunov functions for fractional-order systems in biology: Methods and applications	50
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects	50
A fractional-order model for COVID-19 and tuberculosis co-infection using Atangana–Baleanu derivative	49
Evaluation and prediction of COVID-19 in India: A case study of worst hit states	49
SIRSi compartmental model for COVID-19 pandemic with immunity loss	49
Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method	49
Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation	49
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota–Satsuma–Ito system: X-type soliton, resonant Y-type soliton and hybrid solutions	48
Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain	48