Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel
From MaRDI portal
Publication:2213039
DOI10.1016/j.chaos.2019.05.019zbMath1448.34023OpenAlexW2946000474WikidataQ127861717 ScholiaQ127861717MaRDI QIDQ2213039
Kolade M. Owolabi, Berat Karaagac, José Francisco Gómez-Aguilar
Publication date: 27 November 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.05.019
Numerical methods for initial value problems involving ordinary differential equations (65L05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Fractional ordinary differential equations (34A08)
Related Items
Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets, A new fractional study on the chaotic vibration and state-feedback control of a nonlinear suspension system, A HIGH ORDER NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL LASER SYSTEM WITH CHAOS STUDY, An application of Chebyshev wavelet method for the nonlinear time fractional Schrödinger equation, Global dynamics and bifurcation analysis of a fractional‐order SEIR epidemic model with saturation incidence rate, A study on fractional HIV‐AIDs transmission model with awareness effect, Numerical investigations on <scp>COVID</scp>‐19 model through singular and non‐singular fractional operators, Analytical solution of the fractional neutron point kinetic equations using the Mittag-Leffler function, A Mittag-Leffler fractional-order difference observer, Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel, Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method, Modelling and Analysis of Predation System with Nonlocal and Nonsingular Operator, Dynamics of middle east respiratory syndrome coronavirus (MERS-CoV) involving fractional derivative with Mittag-Leffler kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Design of generalized dissipativity state estimator for static neural networks including state time delays and leakage delays
- Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances
- Robust passivity analysis for uncertain neural networks with leakage delay and additive time-varying delays by using general activation function
- Bifurcations in an internet congestion control system with distributed delay
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Numerical simulations of multilingual competition dynamics with nonlocal derivative
- FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grünwald-Letnikov method
- Numerical analysis of the initial conditions in fractional systems
- Lyapunov functions for fractional order systems
- Analysis and numerical simulation of multicomponent system with Atangana-Baleanu fractional derivative
- Chaotic behaviour in system of noninteger-order ordinary differential equations
- Numerical analysis and pattern formation process for space-fractional superdiffusive systems
- High-order solvers for space-fractional differential equations with Riesz derivative
- New numerical approach for fractional differential equations
- Fractional stochastic modeling: New approach to capture more heterogeneity
- Computational study of noninteger order system of predation
- Mathematical modeling and analysis of two-variable system with noninteger-order derivative
- On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems
- Adaptive synchronization of new fractional‐order chaotic systems with fractional adaption laws based on risk analysis
