A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations

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dc.creatorFrederico, Gastao S. F.
dc.creatorTorres, Delfim F. M.
dc.date2007-01-06
dc.date.accessioned2026-07-07T08:11:42Z
dc.date.available2026-07-07T08:11:42Z
dc.descriptionFractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being the fractional necessary optimality condition of Euler-Lagrange obtained in 2002. Here we use the notion of Euler-Lagrange fractional extremal to prove a Noether-type theorem. For that we propose a generalization of the classical concept of conservation law, introducing an appropriate fractional operator.
dc.descriptionAccepted for publication in the Journal of Mathematical Analysis and Applications
dc.identifierhttps://arxiv.org/abs/math/0701187
dc.identifierhttp://arxiv.org/abs/math/0701187
dc.identifierJ. Math. Anal. Appl. 334 (2007) 834--846, doi:10.1016/j.jmaa.2007.01.013
dc.identifierdoi:10.1016/j.jmaa.2007.01.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132205
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subject49K05; 26A33
dc.titleA Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
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