Author(s): Almeida, Ricardo
Date: 2024
Persistent ID: http://hdl.handle.net/10773/42080
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Author(s): Almeida, Ricardo
Date: 2024
Persistent ID: http://hdl.handle.net/10773/42080
Origin: RIA - Repositório Institucional da Universidade de Aveiro
In this short communication, we will prove a necessary condition that any curve, which extremes a given class of functionals, must satisfy. In addition to the dependence on time and the unknown function, the Lagrange function depends on a fractional derivative with respect to another function, and the order of the derivative is a function of two variables, thus also depending on time.