Journal article
Fractal calculus of variations for problems with constraints
Modern physics letters A, Vol.40(7-8), 2550001
03/14/2025
DOI: 10.1142/S0217732325500014
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 Schrödinger 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.
Details
- Title: Subtitle
- Fractal calculus of variations for problems with constraints
- Creators
- Alireza Khalili Golmankhaneh - Islamic Azad University of UrmiaCarlo Cattani - Università degli Studi della TusciaRoman Pasechnik - Lund UniversityShigeru Furuichi - Nihon UniversityPalle E. T. Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Modern physics letters A, Vol.40(7-8), 2550001
- DOI
- 10.1142/S0217732325500014
- ISSN
- 0217-7323
- eISSN
- 1793-6632
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Language
- English
- Electronic publication date
- 02/28/2025
- Date published
- 03/14/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984800202902771
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