Fractional variational problems depending on indefinite integrals
Optimization and Control
2011-11-11 v1
Abstract
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered.
Cite
@article{arxiv.1102.3360,
title = {Fractional variational problems depending on indefinite integrals},
author = {Ricardo Almeida and Shakoor Pooseh and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1102.3360},
year = {2011}
}
Comments
Submitted 29-Dec-2010; revised 14-Feb-2011; accepted 16-Feb-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & Applications