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dc.contributor.authorAtanacković, Teodoren_US
dc.contributor.authorJanev, Markoen_US
dc.contributor.authorPilipović, Stevanen_US
dc.date.accessioned2021-02-01T09:02:58Z-
dc.date.available2021-02-01T09:02:58Z-
dc.date.issued2021-01-09-
dc.identifier.issn0001-5970-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4526-
dc.description.abstractA variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated, and the invariance of this principle under the action of a local group of symmetries is determined. By the Noether theorem the conservation law for the corresponding fractional Euler–Lagrange equation is obtained. A sequence of approximations of a fractional Euler–Lagrange equation by systems of integer order equations is used for the construction of a sequence of conservation laws which, with certain assumptions, weakly converge to the one for the basic Herglotz variational principle. Results are illustrated by two examples.en_US
dc.publisherSpringer Linken_US
dc.relation.ispartofActa Mechanicaen_US
dc.titleNoether’s theorem for variational problems of Herglotz type with real and complex order fractional derivativesen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s00707-020-02893-3-
dc.identifier.scopus2-s2.0-85099205616-
dc.contributor.affiliationMechanicsen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage1131-
dc.relation.lastpage1146-
dc.relation.issue3-
dc.relation.volume232-
dc.description.rank~M22-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0003-3246-4988-
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