Abstract
The universal principle obtained by Emmy Noether in 1918 asserts that the invariance of a variational problem with respect to a one-parameter family of symmetry transformations implies the existence of a conserved quantity along with the Euler–Lagrange extremals. Here, we prove Noether's theorem for the recent non-Newtonian calculus of variations. The proof is based on a new necessary optimality condition of DuBois–Reymond type.
Disclosure statement
No potential conflict of interest was reported by the author.