Fractional Calculus of Variations for Double Integrals

Abstract

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.

Submitted 07-Sept-2010; revised 25-Nov-2010; accepted 07-Feb-2011; for publication in Balkan Journal of Geometers and Its Applications (BJGA)

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Cited by in corpus (1)

• Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics