info:eu-repo/semantics/article
An Euler-Lagrange Equation only Depending on Derivatives of Caputo for Fractional Variational Problems with Classical Derivatives
Fecha
2020-05-18Registro en:
Barrios, Melani; Reyero, Gabriela Fernanda; An Euler-Lagrange Equation only Depending on Derivatives of Caputo for Fractional Variational Problems with Classical Derivatives; International Academic Press; Statistics, Optimization & Information Computing; 8; 2; 18-5-2020; 590-601
2310-5070
2311-004X
CONICET Digital
CONICET
Autor
Barrios, Melani
Reyero, Gabriela Fernanda
Resumen
In this paper we present advances in fractional variational problems with a Lagrangian depending on Caputo fractional and classical derivatives. New formulations of the fractional Euler-Lagrange equation are shown for the basic and isoperimetric problems, one in an integral form, and the other that depends only on the Caputo derivatives. The advantage is that Caputo derivatives are more appropriate for modeling problems than the Riemann-Liouville derivatives and makes the calculations easier to solve because, in some cases, its behavior is similar to the behavior of classical derivatives. Finally, a new exact solution for a particular variational problem is obtained.