Chaotic and spatiotemporal oscillations in fractional reaction-diffusion system
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DOI: 10.1016/j.chaos.2020.110302
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- Yadav, Swati & Pandey, Rajesh K. & Shukla, Anil K., 2019. "Numerical approximations of Atangana–Baleanu Caputo derivative and its application," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 58-64.
- Yadav, Swati & Pandey, Rajesh K., 2020. "Numerical approximation of fractional burgers equation with Atangana–Baleanu derivative in Caputo sense," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
- Singh, Harendra & Pandey, Rajesh K. & Singh, Jagdev & Tripathi, M.P., 2019. "A reliable numerical algorithm for fractional advection–dispersion equation arising in contaminant transport through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
- Owolabi, Kolade M., 2016. "Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 89-98.
- Karaagac, Berat, 2019. "A study on fractional Klein Gordon equation with non-local and non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 218-229.
- Xue, Lin, 2012. "Pattern formation in a predator–prey model with spatial effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5987-5996.
- dos S. Silva, F.A. & Viana, R.L. & Lopes, S.R., 2015. "Pattern formation and Turing instability in an activator–inhibitor system with power-law coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 487-497.
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- Owolabi, Kolade M. & Pindza, Edson & Atangana, Abdon, 2021. "Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
- Shi, Dongyang & Zhang, Sihui, 2024. "Unconditional superconvergence analysis of an energy-stable L1 scheme for coupled nonlinear time-fractional prey-predator equations with nonconforming finite element," Applied Mathematics and Computation, Elsevier, vol. 467(C).
- Belmahi, Naziha & Shawagfeh, Nabil, 2021. "A new mathematical model for the glycolysis phenomenon involving Caputo fractional derivative: Well posedness, stability and bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
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Keywords
Activator-inhibitor model; Caputo fractional derivative; Predator-prey system; Chaotic and spatiotemporal patterns; Numerical simulations;All these keywords.
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