JOURNAL ARTICLE

Covariance in fractional calculus.

  • Published In: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2025, v. 40, n. 17. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Herrmann, Richard 3 of 3

Abstract

Based on the requirement of covariance, we propose a new approach for generalizing fractional calculus in multi-dimensional space. As a first application, we calculate an approximation for the ground state energy of the fractional two-dimensional harmonic oscillator using the Ritz variational principle. In lowest order perturbation theory, a new analytic result is derived for the energy level spectrum of the one-dimensional fractional harmonic oscillator. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 2025/06, Vol. 40, Issue 17, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2025
  • ISSN:0217-751X
  • DOI:10.1142/S0217751X25500472
  • Accession Number:185394179
  • Copyright Statement:Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics 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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