Variational problems for Holderian functions with free terminal point

Abstract

We develop the new variational calculus introduced in 2011 by J. Cresson and I. Greff, where the classical derivative is substituted by a new complex operator called the scale derivative. In this paper we consider several nondifferentiable variational problems with free terminal point: with and without constraints, of first and higher-order type.

This is a preprint of a paper whose final and definite form will be published in Math. Meth. Appl. Sci