Fractal calculus of variations for problems with constraints
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.
Authors
- Carlo Cattani (ORCID: https://orcid.org/0000-0002-7504-0424)
- Alireza Khalili Golmankhaneh (ORCID: https://orcid.org/0000-0002-5008-0163)
- Palle E. T. Jørgensen (ORCID: https://orcid.org/0000-0003-2681-5753)
- Roman Pasechnik (ORCID: https://orcid.org/0000-0003-4231-0149)
- Shigeru Furuichi (ORCID: https://orcid.org/0000-0002-9929-0954)
Institutions
- Nihon University (JP)
- Van Yüzüncü Yıl Üniversitesi (TR)
- University of Iowa (US)
- Università degli Studi della Tuscia (IT)
- Lund University (SE)
- Islamic Azad University of Urmia (IR)
- Saveetha University (IN)
- Azerbaijan University (AZ)
Publication Details
- Journal
- Modern Physics Letters A
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1142/s0217732325500014
- Citations
- 9
- Primary Topic
- Mathematical and Theoretical Analysis
- Type
- article
- Field-Weighted Citation Impact
- 33.23