Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives
Optimization and Control
2013-01-01 v1
Abstract
We study dynamic minimization problems of the calculus of variations with Lagrangian functionals containing Riemann-Liouville fractional integrals, classical and Caputo fractional derivatives. Under assumptions of regularity, coercivity and convexity, we prove existence of solutions.
Cite
@article{arxiv.1208.2363,
title = {Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives},
author = {Loïc Bourdin and Tatiana Odzijewicz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1208.2363},
year = {2013}
}
Comments
This is a preprint of a paper whose final and definite form will be published in: Adv. Dyn. Syst. Appl. Submitted July 31, 2012; revised and accepted August 11, 2012