A Generalized Fractional Calculus of Variations
Optimization and Control
2013-10-03 v1 Mathematical Physics
math.MP
Abstract
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, transversality conditions for free boundary value problems, and a generalized Noether type theorem.
Cite
@article{arxiv.1304.5282,
title = {A Generalized Fractional Calculus of Variations},
author = {Tatiana Odzijewicz and Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1304.5282},
year = {2013}
}
Comments
This is a preprint of a paper whose final and definitive form will appear in Control and Cybernetics. Paper submitted 01-Oct-2012; revised 25-March-2013; accepted for publication 17-April-2013