Chaos Solitons & Fractals

Chaos Solitons & Fractals

混沌孤子和分形

  • 1区 中科院分区
  • Q1 JCR分区

高引用文章

文章名称 引用次数
Fractional derivatives with no-index law property: Application to chaos and statistics 88
On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative 74
Modeling attractors of chaotic dynamical systems with fractal-fractional operators 68
A novel method for a fractional derivative with non-local and non-singular kernel 64
New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative 62
Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu 49
New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations 46
System of fractional differential algebraic equations with applications 43
Collocation methods for fractional differential equations involving non-singular kernel 42
Digital currency forecasting with chaotic meta-heuristic bio-inspired signal processing techniques 42
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel 42
Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense 41
Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC - Fractional Volterra integro-differential equations 41
Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative 41
Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painleve equations in Hilbert space 40
A new fractional analysis on the interaction of HIV with CD4(+) T-cells 36
Fractional logistic models in the frame of fractional operators generated by conformable derivatives 36
Dynamic analysis, circuit realization, control design and image encryption application of an extended Lu system with coexisting attractors 35
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrodinger system 34
Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator 33
Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay 32
Blind in a commutative world: Simple illustrations with functions and chaotic attractors 32
A singular ABC-fractional differential equation with p-Laplacian operator 31
Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative 30
Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrodinger equations in an inhomogeneous optical fiber 30
Long-range memory, distributional variation and randomness of bitcoin volatility 29
Stability analysis and numerical solutions of fractional order HIV/AIDS model 29
Chaos, randomness and multi-fractality in Bitcoin market 28
Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives 27
Cryptocurrency forecasting with deep learning chaotic neural networks 27
A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors 26
A fractional model for the dynamics of TB virus 26
Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws 26
A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative 26
Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfven waves in an astrophysical plasma 25
A fractional-order epidemic model with time-delay and nonlinear incidence rate 24
Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus 23
Novel technique of Atangana and Baleanu for heat dissipation in transmission line of electrical circuit 22
Fractional difference operators with discrete generalized Mittag-Leffler kernels 22
New structures for the space-time fractional simplified MCH and SRLW equations 22
Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator 22
Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative 22
On fractional-order discrete-time systems: Chaos, stabilization and synchronization 21
Fractional Langevin equation with anti-periodic boundary conditions 21
A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability 21
Validity of fractal derivative to capturing chaotic attractors 21
Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of coexisting attractors 21
A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization 20
Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria 20
A cardinal approach for nonlinear variable-order time fractional Schrodinger equation defined by Atangana-Baleanu-Caputo derivative 19