Covariance in Fractional Calculus
General Physics
2025-05-09 v3
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 2-dimensional harmonic oscillator using the Ritz variational principle.
Keywords
Cite
@article{arxiv.2409.18150,
title = {Covariance in Fractional Calculus},
author = {Richard Herrmann},
journal= {arXiv preprint arXiv:2409.18150},
year = {2025}
}
Comments
18 pages, 3 figures