Fractal Nambu Mechanics: Extending Dynamics With Fractal Calculus
| dc.authorscopusid | 57555731900 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorscopusid | 57200422532 | |
| dc.contributor.author | Khalili Golmankhaneh, A. | |
| dc.contributor.author | Tunç, C. | |
| dc.contributor.author | Juraev, D.A. | |
| dc.date.accessioned | 2025-07-30T16:33:30Z | |
| dc.date.available | 2025-07-30T16:33:30Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Khalili Golmankhaneh A.] Department of Physics, Urmia Branch, Islamic Azad University, West Azerbaijan, Urmia, 63896, Iran, Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey; [Tunç C.] Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey; [Juraev D.A.] Department of Scientific Research, Innovation and Training of Scientific and Pedagogical Staff, University of Economics and Pedagogy, Karshi, 180100, Uzbekistan, Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India | en_US |
| dc.description | Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India | en_US |
| dc.description.abstract | In this paper, we extend the principles of Nambu mechanics by incorporating fractal calculus. This extension introduces Hamiltonian and Lagrangian mechanics that incorporate fractal derivatives. By doing so, we broaden the scope of our analysis to encompass the dynamics of fractal systems, enabling us to capture their intricate and self-similar properties. This novel approach opens up new avenues for understanding and modeling complex fractal structures, thereby advancing our comprehension of these intricate phenomena. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025. | en_US |
| dc.identifier.doi | 10.1007/978-3-031-58641-5_9 | |
| dc.identifier.endpage | 145 | en_US |
| dc.identifier.isbn | 9783031586408 | |
| dc.identifier.issn | 0930-8989 | |
| dc.identifier.scopus | 2-s2.0-105010817838 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 129 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/978-3-031-58641-5_9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/28122 | |
| dc.identifier.volume | 397 SPPHY | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | en_US |
| dc.relation.ispartof | Springer Proceedings in Physics -- International Symposium on Mathematical Analysis of Fractals and Dynamical Systems, ISMAFDS 2023 -- 24 August 2023 through 25 August 2023 -- Vellore -- 335209 | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Fractal Manifold | en_US |
| dc.subject | Fractal Nambu Mechanics | en_US |
| dc.title | Fractal Nambu Mechanics: Extending Dynamics With Fractal Calculus | en_US |
| dc.type | Conference Object | en_US |