
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.
LaTeX, 16 pages, 2 figures
Condensed Matter - Materials Science, Statistical Mechanics (cond-mat.stat-mech), Classical Physics (physics.class-ph), Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Physics - Classical Physics, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Other Condensed Matter, Chaotic Dynamics (nlin.CD), Condensed Matter - Statistical Mechanics, Mathematical Physics, Other Condensed Matter (cond-mat.other)
Condensed Matter - Materials Science, Statistical Mechanics (cond-mat.stat-mech), Classical Physics (physics.class-ph), Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Physics - Classical Physics, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Other Condensed Matter, Chaotic Dynamics (nlin.CD), Condensed Matter - Statistical Mechanics, Mathematical Physics, Other Condensed Matter (cond-mat.other)
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