On Solvability of Some Inverse Problems for a Fractional Parabolic Equation with a Nonlocal Biharmonic Operator

Autor:	Moldir Muratbekova, Bakhtiyar Kadirkulov, Maira Koshanova, Batirkhan Turmetov
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	inverse problem fractional derivative involution nonlocal operator parabolic equation fourth order equation Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 5, p 404 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7050404
Popis:	The paper considers the solvability of some inverse problems for fractional differential equations with a nonlocal biharmonic operator, which is introduced with the help of involutive transformations in two space variables. The considered problems are solved using the Fourier method. The properties of eigenfunctions and associated functions of the corresponding spectral problems are studied. Theorems on the existence and uniqueness of solutions to the studied problems are proved.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/125c6ff3fdc9425aa1037eaab3bc424a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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