Generalized fractional operators for nonstandard Lagrangians
Mathematical Physics
2015-05-19 v1 math.MP
Optimization and Control
Abstract
In this note we study the application of generalized fractional operators to a particular class of nonstandard Lagrangians. These are typical of dissipative systems and the corresponding Euler-Lagrange and Hamilton equations are analyzed. The dependence of the equation of motion on the generalized kernel permits to obtain a wide range of different configurations of motion. Some examples are discussed and analyzed.
Cite
@article{arxiv.1404.6483,
title = {Generalized fractional operators for nonstandard Lagrangians},
author = {Giorgio S. Taverna and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1404.6483},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will appear in Mathematical Methods in the Applied Sciences, ISSN 0170-4214. Paper submitted 31/Jan/2014; revised 23/Apr/2014; accepted for publication 25/Apr/2014