English

Isoperimetric problems of the calculus of variations with fractional derivatives

Optimization and Control 2012-03-12 v1

Abstract

In this paper we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound of the fractional derivatives are considered.

Keywords

Cite

@article{arxiv.1105.2078,
  title  = {Isoperimetric problems of the calculus of variations with fractional derivatives},
  author = {Ricardo Almeida and Rui A. C. Ferreira and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1105.2078},
  year   = {2012}
}

Comments

Submitted 02-Oct-2009; revised 30-Jun-2010; accepted 10-May-2011; for publication in the journal Acta Mathematica Scientia