DC Field | Value | Language |
---|---|---|
dc.contributor.author | Atanacković, Teodor | en_US |
dc.contributor.author | Janev, Marko | en_US |
dc.contributor.author | Pilipović, Stevan | en_US |
dc.date.accessioned | 2021-02-01T09:02:58Z | - |
dc.date.available | 2021-02-01T09:02:58Z | - |
dc.date.issued | 2021-01-09 | - |
dc.identifier.issn | 0001-5970 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/4526 | - |
dc.description.abstract | A 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.publisher | Springer Link | en_US |
dc.relation.ispartof | Acta Mechanica | en_US |
dc.title | Noether’s theorem for variational problems of Herglotz type with real and complex order fractional derivatives | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s00707-020-02893-3 | - |
dc.identifier.scopus | 2-s2.0-85099205616 | - |
dc.contributor.affiliation | Mechanics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 1131 | - |
dc.relation.lastpage | 1146 | - |
dc.relation.issue | 3 | - |
dc.relation.volume | 232 | - |
dc.description.rank | ~M22 | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.orcid | 0000-0003-3246-4988 | - |
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