| 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 |