English

Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense

Optimization and Control 2013-07-09 v2

Abstract

We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations, are discussed.

Keywords

Cite

@article{arxiv.1205.4853,
  title  = {Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense},
  author = {Gastao S. F. Frederico and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1205.4853},
  year   = {2013}
}

Comments

Submitted 12-Oct-2012; revised 05-Jan-2013; accepted 23-Jan-2013; for publication in Reports on Mathematical Physics. arXiv admin note: substantial text overlap with arXiv:1001.4507