Well-posedness of space fractional Ginzburg–Landau equations involving the fractional Laplacian arising in a Bose–Einstein condensation and its kernel based approximation-Reference-Cited by-同舟云学术

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Well-posedness of space fractional Ginzburg–Landau equations involving the fractional Laplacian arising in a Bose–Einstein condensation and its kernel based approximation

Published:2023-11 Issue: Volume:126 Page:107469
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Mohebalizadeh Hamed,Adibi Hojatollah,Dehghan Mehdi^ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference86 articles.

1. High-dimensional nonlinear Ginzburg–Landau equation with fractional Laplacian: discretization and simulations;Du;Commun Nonlinear Sci Numer Simul,2021

2. Fractional Ginzburg–Landau equation for fractal media;Tarasov;Physica A,2005

3. Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg–Landau equation;Mvogo;Commun Nonlinear Sci Numer Simul,2016

4. Fractional generalization of the Ginzburg–Landau equation: an unconventional approach to critical phenomena in complex media;Milovanov;Phys Lett A,2005

5. Fractional integrals and derivatives: Theory and applications, Vol. 1;Samko,1993

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