A new definition of the fractional Laplacian
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2002
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| _version_ | 1866918162765709312 |
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| author | Chen, W. |
| author_facet | Chen, W. |
| contents | It is noted that the standard definition of the fractional Laplacian leads to a hyper-singular convolution integral and is also obscure about how to implement the boundary conditions. This purpose of this note is to introduce a new definition of the fractional Laplacian to overcome these major drawbacks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0209020 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | A new definition of the fractional Laplacian Chen, W. Numerical Analysis Computational Engineering, Finance, and Science G.1.8; G.1.9 It is noted that the standard definition of the fractional Laplacian leads to a hyper-singular convolution integral and is also obscure about how to implement the boundary conditions. This purpose of this note is to introduce a new definition of the fractional Laplacian to overcome these major drawbacks. |
| title | A new definition of the fractional Laplacian |
| topic | Numerical Analysis Computational Engineering, Finance, and Science G.1.8; G.1.9 |
| url | https://arxiv.org/abs/cs/0209020 |