期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 354, 期 -, 页码 249-261出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2005.02.047
关键词
fractional equation; fractional derivatives and integrals fractal medium; Ginzburg-Landau equation
We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg-Landau equation for fractal media are considered and different forms of the fractional Ginzburg-Landau equation or nonlinear Schrodinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied. (c) 2005 Elsevier B.V. All rights reserved.
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