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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 14
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Articles

Well-posedness of the fractional Ginzburg–Landau equation

Xian-Ming Gu School of Economic Mathematics, Southwestern University of Finance and Economics , Chengdu, P.R. China.; Johann Bernoulli Institute of Mathematics and Computer Science, University of Groningen , Groningen, The Netherlands.View further author information
,
Lin Shi School of Mathematics, Southwest Jiaotong University , Chengdu, P.R. China.Correspondence[email protected] [email protected]
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Tianhua Liu School of Mathematical Sciences, University of Electronic Science and Technology of China , Chengdu, P.R. China.View further author information
Pages 2545-2558 | Received 18 Oct 2017, Accepted 11 Apr 2018, Published online: 30 May 2018

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Durga N, Muthukumar P & Xianlong Fu. (2021) Stochastic time-optimal control for time-fractional Ginzburg–Landau equation with mixed fractional Brownian motion. Stochastic Analysis and Applications 39:6, pages 1144-1165.
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Articles from other publishers (6)

Lu Zhang, Yingying Xu, Ying Tao & Lei Chen. (2022) Preconditioned iterative solver for 2D complex fractional Ginzburg-Landau equation. Preconditioned iterative solver for 2D complex fractional Ginzburg-Landau equation.
Hengfei Ding & Qian Yi. (2022) The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I). Communications in Nonlinear Science and Numerical Simulation 110, pages 106394.
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Qifeng Zhang, Lu Zhang & Hai-wei Sun. (2021) A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg–Landau equations. Journal of Computational and Applied Mathematics 389, pages 113355.
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Qifeng Zhang, Jan S. Hesthaven, Zhi-zhong Sun & Yunzhu Ren. (2021) Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Advances in Computational Mathematics 47:3.
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Mingfa Fei, Chengming Huang, Nan Wang & Guoyu Zhang. (2019) Galerkin‐Legendre spectral method for the nonlinear Ginzburg‐Landau equation with the Riesz fractional derivative. Mathematical Methods in the Applied Sciences 44:4, pages 2711-2730.
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Meng Li & Chengming Huang. (2018) An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian. Numerical Methods for Partial Differential Equations 35:1, pages 394-421.
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