Repository logo
 
Publication

Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First alpha-Order Lagrangian Systems

2025-05-28Journal article Open access
Simple item page
dc.contributor.authorGolmankhaneh, Alireza Khalili
dc.contributor.authorŞevli, Hamdullah
dc.contributor.authorTavares, Dina
dc.contributor.authorJørgensen, Palle E. T.
dc.date.accessioned2025-07-18T13:19:39Z
dc.date.available2025-07-18T13:19:39Z
dc.date.issued2025-05-28
dc.description.abstractThis paper presents the foundational concepts of fractal calculus before generalizing the Dirac Constraint Formalism and the Faddeev-Jackiw Formalism for first -order Lagrangian systems in fractal spaces with non-integer dimensions. We provide a detailed analysis of the generalization process, highlighting the theoretical framework and key results, including the extended structure of the constraint systems in these Lagrangian formulations. Specific examples are discussed to demonstrate the practical application of the generalized formalism and to validate the consistency of our results. Moreover, graphical visualizations are included to enhance clarity, offering a visual interpretation of the findings and illustrating the relationship between the theory and its real-world implications.eng
dc.description.sponsorshipOpen access funding provided by the Scientific and Technological Research Council of Türkiye (TÜB˙ITAK). Partial financial support was received from Portuguese national funds through the Fundação para a Ciência e a Tecnologia (FCT), Portugal, within the scope of the CIDMA project UIDB/04106/2020.
dc.identifier.citationKhalili Golmankhaneh, A., Şevli, H., Tavares, D. et al. Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First -Order Lagrangian Systems. Complex Anal. Oper. Theory 19, 90 (2025). https://doi.org/10.1007/s11785-025-01718-2
dc.identifier.doi10.1007/s11785-025-01718-2
dc.identifier.issn1661-8254
dc.identifier.issn1661-8262
dc.identifier.urihttp://hdl.handle.net/10400.8/13714
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Science and Business Media LLC
dc.relationUIDB/04106/2020
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s11785-025-01718-2
dc.relation.ispartofComplex Analysis and Operator Theory
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFractal Dirac Constraint Formalism
dc.subjectFractal Faddeev-Jackiw Formalism
dc.subjectα-order Lagrangian systems
dc.titleExtending Dirac and Faddeev-Jackiw Formalisms to Fractal First alpha-Order Lagrangian Systemseng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue5
oaire.citation.titleComplex Analysis and Operator Theory
oaire.citation.volume19
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameTavares
person.givenNameDina
person.identifier.ciencia-idE017-F6C3-562F
person.identifier.orcid0000-0002-4938-0855
person.identifier.scopus-author-id56519530700
relation.isAuthorOfPublicatione6ef797b-2ad4-446d-961d-239c53f9ea37
relation.isAuthorOfPublication.latestForDiscoverye6ef797b-2ad4-446d-961d-239c53f9ea37

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
s11785-025-01718-2 (2).pdf
Size:
1.4 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.32 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ESECS - Artigos em revistas internacionais