On time-fractional partial differential equations of time-dependent piecewise constant order
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917975276126208 |
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| author | Kian, Yavar Slodička, Marián Soccorsi, Éric Van Bockstal, Karel |
| author_facet | Kian, Yavar Slodička, Marián Soccorsi, Éric Van Bockstal, Karel |
| contents | This contribution considers the time-fractional subdiffusion with a time-dependent variable-order fractional operator of order $β(t)$. It is assumed that $β(t)$ is a piecewise constant function with a finite number of jumps. A proof technique based on the Fourier method and results from constant-order fractional subdiffusion equations has been designed. This novel approach results in the well-posedness of the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On time-fractional partial differential equations of time-dependent piecewise constant order Kian, Yavar Slodička, Marián Soccorsi, Éric Van Bockstal, Karel Analysis of PDEs 35R11 This contribution considers the time-fractional subdiffusion with a time-dependent variable-order fractional operator of order $β(t)$. It is assumed that $β(t)$ is a piecewise constant function with a finite number of jumps. A proof technique based on the Fourier method and results from constant-order fractional subdiffusion equations has been designed. This novel approach results in the well-posedness of the problem. |
| title | On time-fractional partial differential equations of time-dependent piecewise constant order |
| topic | Analysis of PDEs 35R11 |
| url | https://arxiv.org/abs/2402.03482 |