Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975471 | Physica A: Statistical Mechanics and its Applications | 2007 | 18 Pages |
Abstract
Field equations with time and coordinate derivatives of noninteger order are derived from a stationary action principle for the cases of power-law memory function and long-range interaction in systems. The method is applied to obtain a fractional generalization of the Ginzburg–Landau and nonlinear Schrödinger equations. As another example, dynamical equations for particle chains with power-law interaction and memory are considered in the continuous limit. The obtained fractional equations can be applied to complex media with/without random parameters or processes.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vasily E. Tarasov, George M. Zaslavsky,