Numerical simulation of coupled fractional‐order Whitham‐Broer‐Kaup equations arising in shallow water with Atangana‐Baleanu derivative
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Publication:6188956
DOI10.1002/mma.8238OpenAlexW4221123873MaRDI QIDQ6188956
Publication date: 12 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8238
Laplace transformfixed-point theoremAtangana-Baleanu derivativehomotopy perturbation techniquecoupled Whitham-Broer-Kaup equations
Cites Work
- Unnamed Item
- Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Compact finite difference method for the fractional diffusion equation
- Application of the variational iteration method to the Whitham-Broer-Kaup equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation
- Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
- Numerical solution for fractional model of Fokker-Planck equation by using q-HATM
- A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
- Homotopy perturbation technique
- Analysis and numerical simulation of fractional Biswas-Milovic model
- An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense
- Numerical analysis of nonlinear fractional Klein-Fock-Gordon equation arising in quantum field theory via Caputo-Fabrizio fractional operator
- A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
- On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
- A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system
- Analysis and numerical simulation of fractional order Cahn-Allen model with Atangana-Baleanu derivative
- A new iterative technique for a fractional model of nonlinear Zakharov-Kuznetsov equations via Sumudu transform
- Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations
- A Higher-Order Water-Wave Equation and the Method for Solving It
- On the new fractional derivative and application to nonlinear Baggs and Freedman model
- Approximate equations for long water waves
- Investigating new positive, bounded, and convergent numerical solution for the nonlinear time‐dependent breast cancer dynamic competition model
- Variational methods and applications to water waves
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