Fractional Calculus of Variations for Double Integrals

Details Fractional Calculus of Variations for Double Integrals Fractional Calculus of Variations for Double Integrals

2011-02-07

arxiv.org/abs/1102.1337v1

Balkan J. Geom. Appl. 16 (2011), no. 2, 102--113

Mathematics

Optimization and Control

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

Scientific paper

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.

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