JOURNAL ARTICLE

Fractal calculus of variations for problems with constraints.

  • Published In: Modern Physics Letters A, 2025, v. 40, n. 7/8. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Golmankhaneh, Alireza Khalili; Cattani, Carlo; Pasechnik, Roman; Furuichi, Shigeru; Jorgensen, Palle E. T. 3 of 3

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Modern Physics Letters A. 2025/03, Vol. 40, Issue 7/8, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2025
  • ISSN:0217-7323
  • DOI:10.1142/S0217732325500014
  • Accession Number:183993987
  • Copyright Statement:Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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