Detalhes do Documento

Fractional variational problems with the Riesz-Caputo derivative

Data: 2012

Identificador Persistente: http://hdl.handle.net/10773/4154

Origem: RIA - Repositório Institucional da Universidade de Aveiro

Assunto(s): Calculus of variations; Isoperimetric problem; Riesz-Caputo fractional derivative

Descrição
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the functional is different from the interval of the fractional derivative. Next we consider integral dynamic constraints on the problem, for several different cases. Finally, we determine optimality conditions for functionals depending not only on the admissible functions, but on time also, and we present a necessary condition for a pair function-time to be an optimal solution to the problem. © 2011 Elsevier Ltd. All rights reserved. FCT CIDMA

Tipo de Documento Artigo
Idioma Inglês