Analysis and numerical simulation of fractional order Cahn–Allen model with Atangana–Baleanu derivative
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DOI: 10.1016/j.chaos.2019.05.005
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References listed on IDEAS
- Singh, Jagdev & Kumar, Devendra & Hammouch, Zakia & Atangana, Abdon, 2018. "A fractional epidemiological model for computer viruses pertaining to a new fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 504-515.
- Singh, Jagdev & Kumar, Devendra & Nieto, Juan J., 2017. "Analysis of an El Nino-Southern Oscillation model with a new fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 109-115.
- Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
- Atangana, Abdon, 2018. "Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 688-706.
- Prakash, Amit & Kaur, Hardish, 2017. "Numerical solution for fractional model of Fokker-Planck equation by using q-HATM," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 99-110.
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Cited by:
- Prakash, Amit & Kaur, Hardish, 2021. "Analysis and numerical simulation of fractional Biswas–Milovic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 298-315.
- Gao, Wei & Ghanbari, Behzad & Baskonus, Haci Mehmet, 2019. "New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 34-43.
- Poochinapan, Kanyuta & Wongsaijai, Ben, 2022. "Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme," Applied Mathematics and Computation, Elsevier, vol. 434(C).
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Keywords
Cahn–Allen model; Atangana–Baleanu derivative; Homotopy perturbation technique; Laplace transform; Fixed-point theorem;All these keywords.
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