English

A formulation of the fractional Noether-type theorem for multidimensional Lagrangians

Optimization and Control 2012-10-09 v1

Abstract

This paper presents the Euler-Lagrange equations for fractional variational problems with multiple integrals. The fractional Noether-type theorem for conservative and nonconservative generalized physical systems is proved. Our approach uses well-known notion of the Riemann-Liouville fractional derivative.

Keywords

Cite

@article{arxiv.1203.2107,
  title  = {A formulation of the fractional Noether-type theorem for multidimensional Lagrangians},
  author = {Agnieszka B. Malinowska},
  journal= {arXiv preprint arXiv:1203.2107},
  year   = {2012}
}

Comments

Submitted 26-SEP-2011; accepted 3-MAR-2012; for publication in Applied Mathematics Letters