Inverse problem for determining the order of fractional derivative in mixed-type equations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866914817255669760 |
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| author | Ashurov, R. R. Zunnunov, R. T. |
| author_facet | Ashurov, R. R. Zunnunov, R. T. |
| contents | In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of the order 0<a<1 , and in the other part - a wave equation with a fractional derivative of the order 1<b<2 . The elliptic part of the equation is a second-order operator, considered in a N - dimensional domain D. Assuming the parameters a and b to be unknown, additional conditions are found that provide an unambiguous determination of the required parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_05287 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Inverse problem for determining the order of fractional derivative in mixed-type equations Ashurov, R. R. Zunnunov, R. T. Analysis of PDEs In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of the order 0<a<1 , and in the other part - a wave equation with a fractional derivative of the order 1<b<2 . The elliptic part of the equation is a second-order operator, considered in a N - dimensional domain D. Assuming the parameters a and b to be unknown, additional conditions are found that provide an unambiguous determination of the required parameters. |
| title | Inverse problem for determining the order of fractional derivative in mixed-type equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2103.05287 |