ON THE INVERSE PROBLEM OF THE BITSADZE–SAMARSKII TYPE FOR A FRACTIONAL PARABOLIC EQUATION
| Autor: | R. R. Ashurov, B. J. Kadirkulov, B. Kh.Turmetov |
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| Jazyk: | English<br />Russian |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Проблемы анализа, Vol 12 (30), Iss 3, Pp 20-40 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2306-3424 2306-3432 |
| DOI: | 10.15393/j3.art.2023.14370 |
| Popis: | In this paper, the inverse problem of the Bitsadze–Samarsky type is studied for a fractional order equation with a Hadamard–Caputo fractional differentiation operator. The problem is solved using the spectral method. The spectral aspects of the obtained problem are investigated, root functions are found, and their basis property is proved. The conjugate problem is investigated. The uniqueness and existence theorems for a regular solution to this problem are proved. |
| Databáze: | Directory of Open Access Journals |
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