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roman pasechnik

Roman Pasechnik

Senior lecturer

roman pasechnik

Fractal calculus of variations for problems with constraints

Author

  • Alireza Khalili Golmankhaneh
  • Carlo Cattani
  • Roman Pasechnik
  • Shigeru Furuichi
  • Palle E.T. Jorgensen

Summary, in English

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.

Department/s

  • Particle and nuclear physics

Publishing year

2025-03-14

Language

English

Publication/Series

Modern Physics Letters A

Volume

40

Issue

7-8

Document type

Journal article

Publisher

World Scientific Publishing

Topic

  • Computational Mathematics
  • Other Physics Topics

Keywords

  • constraints
  • Fractal calculus
  • fractal variational calculus
  • Lagrangian multipliers

Status

Published

ISBN/ISSN/Other

  • ISSN: 0217-7323