1303.4075 (Tatiana Odzijewicz et al.)

Noether's theorem for fractional variational problems of variable order    [PDF]

Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres

We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a version of Noether's theorem without transformation of the independent (time) variable. Considered derivatives of variable order are defined in the sense of Caputo.

View original: http://arxiv.org/abs/1303.4075