Fractional variational problems depending on indefinite integrals

• Author(s): Almeida, R. ; Pooseh, S. ; Torres, D.F.M.
• Date: 2012
• Persistent ID: http://hdl.handle.net/10773/6584
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Calculus of variations; Caputo derivatives; Fractional calculus; Fractional necessary optimality conditions
• Document Type: Article
• Language: English

Description

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.