Chaos Solitons & Fractals

Article	Citations
Predictions for COVID-19 with deep learning models of LSTM, GRU and Bi-LSTM	483
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study	350
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	335
CoroDet: A deep learning based classification for COVID-19 detection using chest X-ray images	303
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	290
A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control	283
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative	276
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	235
A mathematical model for COVID-19 transmission dynamics with a case study of India	207
Time series forecasting of Covid-19 using deep learning models: India-USA comparative case study	195
Diagnosis and detection of infected tissue of COVID-19 patients based on lung x-ray image using convolutional neural network approaches	185
Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique	157
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment	157
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images	156
New concept in calculus: Piecewise differential and integral operators	153
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	149
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells	146
Double image encryption algorithm based on neural network and chaos	130
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation	122
Neural network powered COVID-19 spread forecasting model	120
Applications of artificial intelligence in battling against covid-19: A literature review	120
Time series prediction for the epidemic trends of COVID-19 using the improved LSTM deep learning method: Case studies in Russia, Peru and Iran	118
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation	118

Spatio-temporal estimation of the daily cases of COVID-19 in worldwide using random forest machine learning algorithm	117
Forecasting of COVID-19 using deep layer Recurrent Neural Networks (RNNs) with Gated Recurrent Units (GRUs) and Long Short-Term Memory (LSTM) cells	114
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation	113
Prediction of COVID-19 confirmed cases combining deep learning methods and Bayesian optimization	113
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization	112
Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption	111
Stochastic resonance in a metal-oxide memristive device	110
Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China	106
Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique	104
A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus	101
Forecasting of COVID-19 time series for countries in the world based on a hybrid approach combining the fractal dimension and fuzzy logic	101
Analysis of fractional blood alcohol model with composite fractional derivative	101
Analysis of spatiotemporal characteristics of big data on social media sentiment with COVID-19 epidemic topics	99
A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws	97
Perturbation of chirped localized waves in a dual-power law nonlinear medium	96
On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller	95
Automatic distinction between COVID-19 and common pneumonia using multi-scale convolutional neural network on chest CT scans	95
Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model	94
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability	94
Highly dispersive optical solitons of equation with various polynomial nonlinearity law	93
Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers	93
Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version	93
Intelligent skin cancer detection applying autoencoder, MobileNetV2 and spiking neural networks	93
Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions	92
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber	90
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation	90
Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network	88
Coupled neurons with multi-objective optimization benefit incipient fault identification of machinery	87
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
A new fractional-order chaos system of Hopfield neural network and its application in image encryption	86
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives	86
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation	86
On forecasting the spread of the COVID-19 in Iran: The second wave	85
Delayed hepatitis B epidemic model with stochastic analysis	85
An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics	83
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence	83
A hybrid analytical and numerical analysis of ultra-short pulse phase shifts	83
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
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation	82
On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control	81
Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study	80
Design and realization of discrete memristive hyperchaotic map with application in image encryption	80
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images	79
Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map	79
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19	77
A new fractal pattern feature generation function based emotion recognition method using EEG	76
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain	75
Modeling of measles epidemic with optimized fractional order under Caputo differential operator	75

A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations	74
Forecasting Chinese carbon emissions using a novel grey rolling prediction model	72
Optimization of micromixer with Cantor fractal baffle based on simulated annealing algorithm	72
Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit	72
Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model	72
Non-fractional and fractional mathematical analysis and simulations for Q fever	71
An image encryption algorithm based on dynamic row scrambling and Zigzag transformation	71
Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis	71
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
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	70
Application of a novel fractional grey prediction model with time power term to predict the electricity consumption of India and China	70
What is the most suitable Lyapunov function?	70
A new link prediction in multiplex networks using topologically biased random walks	70
Computational study on the dynamics of fractional order differential equations with applications	69
The dynamics of epidemic spreading on signed networks	69
Complex dynamics of Kopel model with nonsymmetric response between oligopolists	69
Image encryption algorithm based on hyperchaotic system and a new DNA sequence operation	69
Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption	68
The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction	68
Logistic equation and COVID-19	68
Mathematical modeling of pine wilt disease with Caputo fractional operator	68
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
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems	65
A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application	64
Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow water wave equations with their stability	64
Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method	63
Fractional model of COVID-19 applied to Galicia, Spain and Portugal	63
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects	62
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus	62
New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives	62
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network	62
Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics	62
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom	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
Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (	61
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system	61
Projections and fractional dynamics of COVID-19 with optimal control strategies	61
Dispersion entropy-based Lempel-Ziv complexity: A new metric for signal analysis	61
Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain	61
An epidemic model SIPHERD and its application for prediction of the spread of COVID-19 infection in India	61
Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method	60
Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems	60
Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries	60
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces	59
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps	59
Estimating the parameters of susceptible-infected-recovered model of COVID-19 cases in India during lockdown periods	59
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models	59
Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme	59
Chaos based optics inspired optimization algorithms as global solution search approach	59
Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation	59
Grid-scroll memristive chaotic system with application to image encryption	58
Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential	58
Simulation and experimental validation of a non-equilibrium chaotic system	58
Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative	58
Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers	57
A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative	57
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation	57
Simple colour image cryptosystem with very high level of security	57
Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number	57
Forecasting the patterns of COVID-19 and causal impacts of lockdown in top five affected countries using Bayesian Structural Time Series Models	56
Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system	56
Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation	56
An Emotion Care Model using Multimodal Textual Analysis on COVID-19	56
An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast	56
Designing a bidirectional, adaptive neural interface incorporating machine learning capabilities and memristor-enhanced hardware	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
Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension	55
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems	54
Reinforcement learning-based decentralized fault tolerant control for constrained interconnected nonlinear systems	54
Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays	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
Nonlinear biological population model; computational and numerical investigations	53
A fractional-order model for COVID-19 and tuberculosis co-infection using Atangana–Baleanu derivative	53
Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium	53
On fractal-fractional Covid-19 mathematical model	53
Memristor-coupled asymmetric neural networks: Bionic modeling, chaotic dynamics analysis and encryption application	53

New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators	53
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects	53
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
Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain	52
SIRSi compartmental model for COVID-19 pandemic with immunity loss	51
High-efficiency chaotic time series prediction based on time convolution neural network	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
Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficie	50
Nonparaxial pulse propagation in a planar waveguide with Kerr–like and quintic nonlinearities; computational simulations	50
AEA-NCS: An audio encryption algorithm based on a nested chaotic system	50
Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method	50
A generalized gravity model for influential spreaders identification in complex networks	50
Lyapunov functions for fractional-order systems in biology: Methods and applications	50
Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation	50
Data science and the role of Artificial Intelligence in achieving the fast diagnosis of Covid-19	49
Analysis and visualization of accidents severity based on LightGBM-TPE	49
A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application	49
A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel	49
Novel approximate analytical and numerical cylindrical rogue wave and breathers solutions: An application to electronegative plasma	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
Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model	48
Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor	48
Parallel bi-memristor hyperchaotic map with extreme multistability	48
Based on the multi-assessment model: Towards a new context of combining the artificial neural network and structural equation modelling: A review	48
Effects of bounded noise and time delay on signal transmission in excitable neural networks	48
Neural network controller design for fractional-order systems with input nonlinearities and asymmetric time-varying Pseudo-state constraints	48
Artificial synaptic characteristics of TiO2/HfO2 memristor with self-rectifying switching for brain-inspired computing	48
Modeling and optimal control of mutated COVID-19 (Delta strain) with imperfect vaccination	48
Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model	48
TLCoV- An automated Covid-19 screening model using Transfer Learning from chest X-ray images	47
Applying fractional quantum mechanics to systems with electrical screening effects	47
Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation	47
Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems	47
Robust regression using support vector regressions	47
Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives	46
Analysis of three types of initial offset-boosting behavior for a new fractional-order dynamical system	46
On the nonlinear (k,Ψ	46
Symbolic computation on a (2+1	46
A 3D memristive chaotic system with conditional symmetry	45
IEHC: An efficient image encryption technique using hybrid chaotic map	45
On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings	45
Multistable dynamics and control of a new 4D memristive chaotic Sprott B system	45
A novel chaotic circuit with coexistence of multiple attractors and state transition based on two memristors	45
Predefined-time synchronization of chaotic systems with different dimensions and applications	45
Diffusion of resources and their impact on epidemic spreading in multilayer networks with simplicial complexes	45
Data-driven vector localized waves and parameters discovery for Manakov system using deep learning approach	45
Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics	45
A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay	45
Image encryption algorithm based on Tent-Dynamics coupled map lattices and diffusion of Household	45
Impact of predator incited fear and prey refuge in a fractional order prey predator model	45
Evolutionary modelling of the COVID-19 pandemic in fifteen most affected countries	45
On analysis of the fractional mathematical model of rotavirus epidemic with the effects of breastfeeding and vaccination under Atangana-Baleanu (AB) derivative	44
Uncertainty quantification of a mathematical model of COVID-19 transmission dynamics with mass vaccination strategy	44
Mathematical modeling of coronavirus disease COVID-19 dynamics using CF and ABC non-singular fractional derivatives	44
Conformable space-time fractional nonlinear (1+1	44
Modelling and forecasting of new cases, deaths and recover cases of COVID-19 by using Vector Autoregressive model in Pakistan	44
Computational simulations of propagation of a tsunami wave across the ocean	44
Discrete-time macroeconomic system: Bifurcation analysis and synchronization using fuzzy-based activation feedback control	44
Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation	44
Implementation of a reservoir computing system using the short-term effects of Pt/HfO2/TaOx/TiN memristors with self-rectification	44
Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma	44
Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative	44
Synchronization transitions in a discrete memristor-coupled bi-neuron model	44
Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting	44
Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems	44
Boundary layer flow with forced convective heat transfer and viscous dissipation past a porous rotating disk	44
Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators	44
Analysis of drug treatment of the fractional HIV infection model of CD<	44
Evolution of cooperation in heterogeneously stochastic interactions	43
New Hadamard-type integral inequalities via a general form of fractional integral operators	43
Analytical solution of SEIR model describing the free spread of the COVID-19 pandemic	43
Some results on finite-time stability of stochastic fractional-order delay differential equations	43
Characterizing shallow water waves in channels with variable width and depth; computational and numerical simulations	43
Complete synchronization of chaos in systems with nonlinear inertial coupling	43
Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit	42
Design of intelligent computing networks for nonlinear chaotic fractional Rossler system	42
C+EffxNet: A novel hybrid approach for COVID-19 diagnosis on CT images based on CBAM and EfficientNet	42
SEAIR Epidemic spreading model of COVID-19	42
Bifurcation and bursting oscillations in 2D non-autonomous discrete memristor-based hyperchaotic map	42
Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching	42
Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control	42
Alcoholic EEG signals recognition based on phase space dynamic and geometrical features	41
On nonlinear dynamics of a fractional order monkeypox virus model	41
Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities	41
Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation	41
Multilevel switching memristor by compliance current adjustment for off-chip training of neuromorphic system	41
A new predefined-time sliding mode control scheme for synchronizing chaotic systems	41
Multidimensional dissipative solitons and solitary vortices	41
Pixel-level and bit-level image encryption method based on Logistic-Chebyshev dynamic coupled map lattices	41
Dynamical behaviors and optimal control of rumor propagation model with saturation incidence on heterogeneous networks	41
Deep learning models for forecasting and analyzing the implications of COVID-19 spread on some commodities markets volatilities	41
Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel	41