Fractional Calculus of Variations for Double Integrals
classification
🧮 math.OC
keywords
fractionalcalculusconditiondoubleintegralsvariationsapproachboundary
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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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