A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915203577282560 |
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| author | Çetinkaya, F. Ayça Plott, Gage |
| author_facet | Çetinkaya, F. Ayça Plott, Gage |
| contents | In this paper, we study a Dirac boundary value problem where the operator is considered with a derivative of order $α\in (0, 1]$, known as the $F^α$-derivative. We prove some spectral properties of eigenvalues and eigenfunctions and present numerical examples to demonstrate the practical implications of our approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples Çetinkaya, F. Ayça Plott, Gage Spectral Theory In this paper, we study a Dirac boundary value problem where the operator is considered with a derivative of order $α\in (0, 1]$, known as the $F^α$-derivative. We prove some spectral properties of eigenvalues and eigenfunctions and present numerical examples to demonstrate the practical implications of our approach. |
| title | A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2502.10529 |