Covariance in Fractional Calculus
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918012715532288 |
|---|---|
| author | Herrmann, Richard |
| author_facet | Herrmann, Richard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18150 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Covariance in Fractional Calculus Herrmann, Richard General Physics 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. |
| title | Covariance in Fractional Calculus |
| topic | General Physics |
| url | https://arxiv.org/abs/2409.18150 |