Validity of fractal derivative to capturing chaotic attractors

DOI10.1016/j.chaos.2019.06.002zbMath1448.34010OpenAlexW2954599131WikidataQ127725742 ScholiaQ127725742MaRDI QIDQ2213822

Abdon Atangana, Muhammad Altaf Khan

Publication date: 3 December 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.06.002

zbMATH Keywords

numerical approximationchaotic attractorsfractal conformable derivatives

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

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Cites Work

• Analysis of the Keller-Segel model with a fractional derivative without singular kernel
• New properties of conformable derivative
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Anomalous diffusion modeling by fractal and fractional derivatives
• A fractional order pine wilt disease model with Caputo-Fabrizio derivative
• Conformable derivative approach to anomalous diffusion
• A fractional model for the dynamics of TB virus
• A peculiar application of Atangana-Baleanu fractional derivative in neuroscience: chaotic burst dynamics
• Time-space fabric underlying anomalous diffusion
• A chaotic attractor from Chua's circuit
• The double scroll family
• Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points
• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
• GENERATING MULTISCROLL CHAOTIC ATTRACTORS: THEORIES, METHODS AND APPLICATIONS

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