Fractional variational problems depending on indefinite integrals

• Autor(es): Almeida, R. ; Pooseh, S. ; Torres, D.F.M.
• Data: 2012
• Identificador Persistente: http://hdl.handle.net/10773/6584
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): Calculus of variations; Caputo derivatives; Fractional calculus; Fractional necessary optimality conditions
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of the previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered. © 2011 Elsevier Ltd. All rights reserved.