Extending Dirac and Faddeev-Jackiw Formalisms To Fractal First Α-Order Lagrangian Systems
| dc.authorscopusid | 57555731900 | |
| dc.authorscopusid | 15133029700 | |
| dc.authorscopusid | 56519530700 | |
| dc.authorscopusid | 55580299600 | |
| dc.authorwosid | Tavares, Dina/Jmc-1785-2023 | |
| dc.authorwosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.contributor.author | Sevli, Hamdullah | |
| dc.contributor.author | Tavares, Dina | |
| dc.contributor.author | Jorgensen, Palle E. T. | |
| dc.date.accessioned | 2025-06-30T15:25:12Z | |
| dc.date.available | 2025-06-30T15:25:12Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Golmankhaneh, Alireza Khalili] Islamic Azad Univ, Dept Phys, Ur C, Orumiyeh 63896, West Azerbaijan, Iran; [Golmankhaneh, Alireza Khalili] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkiye; [Sevli, Hamdullah] Van Yuzuncu Yil Univ, Fac Engn, Dept Comp Engn, Van, Turkiye; [Tavares, Dina] Polytech Univ Leiria, ESECS, Dept Math & Nat Sci, P-2411901 Leiria, Portugal; [Tavares, Dina] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal; [Jorgensen, Palle E. T.] Univ Iowa, Dept Math, Iowa City, IA 52242 USA | en_US |
| dc.description.abstract | This paper presents the foundational concepts of fractal calculus before generalizing the Dirac Constraint Formalism and the Faddeev-Jackiw Formalism for first alpha-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. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkiye(TUBITAK); Fundacao para a Ciencia e a Tecnologia (FCT), Portugal [UIDB/04106/2020] | en_US |
| dc.description.sponsorship | Open access funding provided by the Scientific and Technological Research Council of Turkiye(TUBITAK). Partial financial support was received from Portuguese national funds through the Fundacao para a Ciencia e a Tecnologia (FCT), Portugal, within the scope of the CIDMA project UIDB/04106/2020(https://doi.org/10.54499/UIDB/04106/2020). | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1007/s11785-025-01718-2 | |
| dc.identifier.issn | 1661-8254 | |
| dc.identifier.issn | 1661-8262 | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopus | 2-s2.0-105006822792 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.uri | https://doi.org/10.1007/s11785-025-01718-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/25198 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wos | WOS:001498354300003 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Dirac Constraint Formalism | en_US |
| dc.subject | Fractal Faddeev-Jackiw Formalism | en_US |
| dc.subject | Alpha-Order Lagrangian Systems | en_US |
| dc.title | Extending Dirac and Faddeev-Jackiw Formalisms To Fractal First Α-Order Lagrangian Systems | en_US |
| dc.type | Article | en_US |