Noether's theorem for fractional variational problems of variable order
Optimization and Control
2013-10-14 v1 Mathematical Physics
math.MP
Abstract
We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a version of Noether's theorem without transformation of the independent (time) variable. Considered derivatives of variable order are defined in the sense of Caputo.
Cite
@article{arxiv.1303.4075,
title = {Noether's theorem for fractional variational problems of variable order},
author = {Tatiana Odzijewicz and Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1303.4075},
year = {2013}
}
Comments
This is a preprint of a paper whose final and definite form will appear in Central European Journal of Physics. Paper submitted 30-Jan-2013; revised 12-March-2013; accepted for publication 15-March-2013