Fractional Variational Calculus with Classical and Combined Caputo Derivatives
Optimization and Control
2011-11-11 v1
Abstract
We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. Euler-Lagrange equations to the basic and isoperimetric problems are proved, as well as transversality conditions.
Cite
@article{arxiv.1101.2932,
title = {Fractional Variational Calculus with Classical and Combined Caputo Derivatives},
author = {Tatiana Odzijewicz and Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1101.2932},
year = {2011}
}
Comments
Submitted 30-Nov-2010; accepted 14-Jan-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & Applications