Generalized Euler-Lagrange equations for variational problems with scale derivatives
arXiv:1003.3133 · doi:10.1007/s11005-010-0385-5
Abstract
We obtain several Euler-Lagrange equations for variational functionals defined on a set of Hölder curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are considered.
Submitted on 03-Aug-2009; accepted for publication 16-March-2010; in "Letters in Mathematical Physics".