Fractional calculus of variations for double integrals

• Autor(es): Odzijewicz, T. ; Torres, D.F.M.
• Data: 2011
• Identificador Persistente: http://hdl.handle.net/10773/4065
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): Calculus of variations; Fractional calculus; Modified riemann-liouville derivative; Multiple integral cost; Multitime Euler-Lagrange fractional PDE
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions. © Balkan Society of Geometers, Geometry Balkan Press 2011.