Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems
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Publication:2056520
DOI10.3934/dcdss.2021060zbMath1475.65076OpenAlexW3160302784MaRDI QIDQ2056520
Abdon Atangana, Kolade M. Owolabi, José Francisco Gómez-Aguilar
Publication date: 8 December 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021060
Lagrange interpolationfractional calculusAdams-Bashforth schemechaotic systemsLiouville-Caputo derivative
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
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- A method for solving differential equations of fractional order
- A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
- A compact difference scheme for the fractional diffusion-wave equation
- Implicit compact difference schemes for the fractional cable equation
- Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations
- Convergence of the Grünwald-Letnikov scheme for time-fractional diffusion
- Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
- On some explicit Adams multistep methods for fractional differential equations
- Modeling diffusive transport with a fractional derivative without singular kernel
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- Mathematical modelling and analysis of two-component system with Caputo fractional derivative order
- The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
- Detailed error analysis for a fractional Adams method
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Spatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivative
- New approaches to the fractional dynamics of schistosomiasis disease model
- Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- Triple pendulum model involving fractional derivatives with different kernels
- Chaos synchronization of a fractional nonautonomous system
- Advances in chaos theory and intelligent control
- New numerical approach for fractional differential equations
- Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense
- The Finite Difference Methods for Fractional Ordinary Differential Equations
- Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition
