Fractional calculus of variations for double integrals

• Author(s): Odzijewicz, T. ; Torres, D.F.M.
• Date: 2011
• Persistent ID: http://hdl.handle.net/10773/4065
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Calculus of variations; Fractional calculus; Modified riemann-liouville derivative; Multiple integral cost; Multitime Euler-Lagrange fractional PDE
• Document Type: Article
• Language: English

Description

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.