Error of discretization of Caputo fractional derivative in weighted spaces
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910162708594688 |
|---|---|
| author | Płociniczak, Łukasz Woszczek, Hubert |
| author_facet | Płociniczak, Łukasz Woszczek, Hubert |
| contents | We establish uniform error bounds of the L1 discretization of the Caputo fractional derivative of the function from the weighted Sobolev space with weight belonging to the Mucknenhoupt class. We present how our framework works for several examples of weight, which belong to the Muckenhoupt class. As and application, we show the convergence of the L1 scheme for the Fractional ODE. Finally, we verify the theoretical results with numerical illustrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22470 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Error of discretization of Caputo fractional derivative in weighted spaces Płociniczak, Łukasz Woszczek, Hubert Numerical Analysis We establish uniform error bounds of the L1 discretization of the Caputo fractional derivative of the function from the weighted Sobolev space with weight belonging to the Mucknenhoupt class. We present how our framework works for several examples of weight, which belong to the Muckenhoupt class. As and application, we show the convergence of the L1 scheme for the Fractional ODE. Finally, we verify the theoretical results with numerical illustrations. |
| title | Error of discretization of Caputo fractional derivative in weighted spaces |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.22470 |