Fractal Calculus of Variations for Problems With Constraints
dc.authorid | Furuichi, Shigeru/0000-0002-9929-0954 | |
dc.authorid | Jorgensen, Palle/0000-0003-2681-5753 | |
dc.authorid | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
dc.authorid | Pasechnik, Roman/0000-0003-4231-0149 | |
dc.authorscopusid | 25122552100 | |
dc.authorscopusid | 7004857300 | |
dc.authorscopusid | 12645308500 | |
dc.authorscopusid | 56216948200 | |
dc.authorscopusid | 55580299600 | |
dc.authorwosid | Pasechnik, Roman/Aam-3282-2020 | |
dc.authorwosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
dc.contributor.author | Golmankhaneh, Alireza Khalili | |
dc.contributor.author | Cattani, Carlo | |
dc.contributor.author | Pasechnik, Roman | |
dc.contributor.author | Furuichi, Shigeru | |
dc.contributor.author | Jorgensen, Palle E. T. | |
dc.date.accessioned | 2025-05-10T17:29:26Z | |
dc.date.available | 2025-05-10T17:29:26Z | |
dc.date.issued | 2025 | |
dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
dc.department-temp | [Golmankhaneh, Alireza Khalili] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye; [Golmankhaneh, Alireza Khalili] Islamic Azad Univ, Dept Phys, Urmia Branch, Orumiyeh 63896, West Azerbaijan, Iran; [Cattani, Carlo] Univ Tuscia, Engn Sch DEIM, I-01100 Viterbo, Italy; [Cattani, Carlo] Azerbaijan Univ, Dept Math & Informat, AZ-1014 Baku, Azerbaijan; [Pasechnik, Roman] Lund Univ, Dept Phys, Solvegatan 14A, SE-22362 Lund, Sweden; [Furuichi, Shigeru] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo 1540000, Japan; [Furuichi, Shigeru] SIMATS Thandalam, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India; [Jorgensen, Palle E. T.] Univ Iowa, Dept Math, Iowa City, IA 52242 USA | en_US |
dc.description | Furuichi, Shigeru/0000-0002-9929-0954; Jorgensen, Palle/0000-0003-2681-5753; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; Pasechnik, Roman/0000-0003-4231-0149 | en_US |
dc.description.abstract | In this paper, we present a summary of fractal calculus and propose the use of Lagrange multipliers for both fractal calculus and fractal variational calculus with constraints. We examine the application of these methods across various branches of physics. By employing fractal variational calculus with constraints, we derive fundamental equations such as the fractal mechanical wave equation, the fractal Schr & ouml;dinger equation in quantum mechanics, Maxwell's equations in fractal electromagnetism, and the Lagrange equation for constraints in fractal classical mechanics. Several examples are provided to illustrate these concepts in detail. | en_US |
dc.description.woscitationindex | Science Citation Index Expanded | |
dc.identifier.doi | 10.1142/S0217732325500014 | |
dc.identifier.issn | 0217-7323 | |
dc.identifier.issn | 1793-6632 | |
dc.identifier.issue | 07N08 | en_US |
dc.identifier.scopus | 2-s2.0-85219126732 | |
dc.identifier.scopusquality | Q3 | |
dc.identifier.uri | https://doi.org/10.1142/S0217732325500014 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14720/12346 | |
dc.identifier.volume | 40 | en_US |
dc.identifier.wos | WOS:001450562500002 | |
dc.identifier.wosquality | Q3 | |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publ Co Pte Ltd | 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 Calculus | en_US |
dc.subject | Lagrangian Multipliers | en_US |
dc.subject | Fractal Variational Calculus | en_US |
dc.subject | Constraints | en_US |
dc.title | Fractal Calculus of Variations for Problems With Constraints | en_US |
dc.type | Article | en_US |