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

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

2012-03-09

arxiv.org/abs/1203.2107v1

Mathematics

Optimization and Control

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

Scientific paper

10.1016/j.aml.2012.03.006

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.

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