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.
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Almeida, R., Torres, D.F.M. Generalized Euler–Lagrange Equations for Variational Problems with Scale Derivatives. Lett Math Phys 92, 221–229 (2010). https://doi.org/10.1007/s11005-010-0385-5
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DOI: https://doi.org/10.1007/s11005-010-0385-5