On the Generalized Fractal Calculus of Variations
| dc.contributor.author | Khalili Golmankhaneh, Alireza | |
| dc.contributor.author | Cattani, Carlo | |
| dc.contributor.author | Park, Choonkil | |
| dc.contributor.author | Furuichi, Shigeru | |
| dc.date.accessioned | 2025-12-30T16:04:51Z | |
| dc.date.available | 2025-12-30T16:04:51Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this paper, we provide a brief overview of fractal calculus and present a comprehensive study of the calculus of variations for functionals on fractal sets. We begin by introducing the calculus of variations for functionals with several dependent variables on fractal sets. We then explore the calculus of variations for functionals with several independent variables on fractal sets. Subsequently, we investigate the calculus of variations for functionals with both several independent and dependent variables on fractal sets. Finally, we suggest applications of fractal calculus of variations in physics, providing examples and plots to illustrate the details. | en_US |
| dc.identifier.doi | 10.1007/s40687-025-00573-z | |
| dc.identifier.issn | 2522-0144 | |
| dc.identifier.issn | 2197-9847 | |
| dc.identifier.scopus | 2-s2.0-105024317210 | |
| dc.identifier.uri | https://doi.org/10.1007/s40687-025-00573-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/29316 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Int Publ Ag | en_US |
| dc.relation.ispartof | Research in the Mathematical Sciences | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Calculus of Variations | en_US |
| dc.subject | Fractal Sets | en_US |
| dc.subject | Independent Variables | en_US |
| dc.subject | Dependent Variables | en_US |
| dc.title | On the Generalized Fractal Calculus of Variations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 25122552100 | |
| gdc.author.scopusid | 7004857300 | |
| gdc.author.scopusid | 57222484465 | |
| gdc.author.scopusid | 56216948200 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Khalili Golmankhaneh, Alireza] Islamic Azad Univ, Dept Phys, Ur C, Orumiyeh, West Azerbaijan, Iran; [Khalili Golmankhaneh, Alireza] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye; [Cattani, Carlo] Univ Tuscia, Engn Sch DEIM, I-01100 Viterbo, Italy; [Cattani, Carlo] Azerbaijan Univ, Dept Math & Informat, Baku AZ1014, Azerbaijan; [Park, Choonkil] Hanyang Univ, Res Inst Convergence Basic Sci, Seoul 04763, South Korea; [Furuichi, Shigeru] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo, Japan; [Furuichi, Shigeru] SIMATS, Dept Math, Saveetha Sch Engn, Chennai 602105, Tamil Nadu, India | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:001634280100001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |