Isoperimetric problems of the calculus of variations with fractional derivatives

DOI10.1016/S0252-9602(12)60043-5zbMath1265.49022arXiv1105.2078OpenAlexW3099764545WikidataQ57650933 ScholiaQ57650933MaRDI QIDQ1931206

Rui A. C. Ferreira, Ricardo Almeida, Delfim F. M. Torres

Publication date: 24 January 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2078

zbMATH Keywords

fractional derivativescalculus of variationsisoperimetric problems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimality conditions for free problems in one independent variable (49K05)

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Direct numerical method for isoperimetric fractional variational problems based on operational matrix ⋮ A spectral framework for fractional variational problems based on fractional Jacobi functions ⋮ Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense ⋮ Fractional calculus of variations: a novel way to look at it ⋮ Optimality conditions for fractional variational problems with free terminal time ⋮ An extended formulation of calculus of variations for incommensurate fractional derivatives with fractional performance index ⋮ Calculus of variations with higher order Caputo fractional derivatives ⋮ Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel ⋮ The necessary conditions of fractional optimal control in the sense of Caputo

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