Longtime behavior of semilinear multi-term fractional in time diffusion
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917602816688128 |
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| author | Vasylyeva, Nataliya |
| author_facet | Vasylyeva, Nataliya |
| contents | In the paper, the initial-boundary value problems to a semilinear integro-differential equation with multi-term fractional Caputo derivatives are analyzed. A particular case of this equation models oxygen diffusion through capillaries. Under proper assumptions on the coefficients and a nonlinearity, the longtime behavior (as $t\to+\infty$) of a solution is discussed. In particular, the existence of absorbing sets in suitable functional spaces is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Longtime behavior of semilinear multi-term fractional in time diffusion Vasylyeva, Nataliya Analysis of PDEs 35R11, 35B45, 35B65, 26A33, 35Q92 In the paper, the initial-boundary value problems to a semilinear integro-differential equation with multi-term fractional Caputo derivatives are analyzed. A particular case of this equation models oxygen diffusion through capillaries. Under proper assumptions on the coefficients and a nonlinearity, the longtime behavior (as $t\to+\infty$) of a solution is discussed. In particular, the existence of absorbing sets in suitable functional spaces is established. |
| title | Longtime behavior of semilinear multi-term fractional in time diffusion |
| topic | Analysis of PDEs 35R11, 35B45, 35B65, 26A33, 35Q92 |
| url | https://arxiv.org/abs/2403.01302 |