paper

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

arXiv:1203.2107 · doi:10.1016/j.aml.2012.03.006

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.

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

References in corpus (6)

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