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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

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