Dynamics of multi-pulse splitting process in one-dimensional Gray-Scott system with fractional order operator
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Publication:2120681
DOI10.1016/j.chaos.2020.109835zbMath1489.74064OpenAlexW3021160336MaRDI QIDQ2120681
Berat Karaagac, Kolade M. Owolabi
Publication date: 1 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109835
Fractional derivatives and integrals (26A33) Simulation of dynamical systems (37M05) Applications of fractional calculus in solid mechanics (74S40)
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Cites Work
- Unnamed Item
- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- Exponential time differencing for stiff systems
- Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation
- Smoothing schemes for reaction-diffusion systems with nonsmooth data
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
- Finite difference approximations for fractional advection-dispersion flow equations
- Blind in a commutative world: simple illustrations with functions and chaotic attractors
- Fractional derivatives with no-index law property: application to chaos and statistics
- Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Comments on: ``The failure of certain fractional calculus operators in two physical models
- New numerical method and application to Keller-Segel model with fractional order derivative
- Numerical simulations of multilingual competition dynamics with nonlocal derivative
- A study on fractional Klein Gordon equation with non-local and non-singular kernel
- A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model
- Analysis and numerical simulation of multicomponent system with Atangana-Baleanu fractional derivative
- Numerical patterns in system of integer and non-integer order derivatives
- Numerical patterns in reaction-diffusion system with the Caputo and Atangana-Baleanu fractional derivatives
- New exact solutions for some fractional order differential equations via improved sub-equation method
- IMEX Runge-Kutta schemes for reaction-diffusion equations
- Finite difference approximations for two-sided space-fractional partial differential equations
- Pattern formation in the one-dimensional Gray - Scott model
- Nonlinear Aspects of Competition Between Three Species
- Exact Homoclinic and Heteroclinic Solutions of the Gray--Scott Model for Autocatalysis
- New numerical approach for fractional differential equations
- Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense
- 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
- Homoclinic Stripe Patterns
- Fourth-Order Time-Stepping for Stiff PDEs
