Fractional Calculus of Variations for Double Integrals
Optimization and Control
2011-04-05 v1
Abstract
We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions.
Cite
@article{arxiv.1102.1337,
title = {Fractional Calculus of Variations for Double Integrals},
author = {Tatiana Odzijewicz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1102.1337},
year = {2011}
}
Comments
Submitted 07-Sept-2010; revised 25-Nov-2010; accepted 07-Feb-2011; for publication in Balkan Journal of Geometers and Its Applications (BJGA)