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Fractional dynamics of systems with long-range space interaction and temporal memory

✍ Scribed by Vasily E. Tarasov; George M. Zaslavsky

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
237 KB
Volume
383
Category
Article
ISSN
0378-4371

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✦ Synopsis

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 Schro¨dinger 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.

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