Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation

Autor:	Nauryzbay Adil, Abdumauvlen S. Berdyshev, B. E. Eshmatov, Zharasbek D. Baishemirov
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Diffusion-wave equation Nonlocal conditions Solvability Volterra property Fractional-order operator Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2023, Iss 1, Pp 1-29 (2023)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-023-01735-0
Popis:	Abstract The paper is devoted to the study of one class of problems with nonlocal conditions for a mixed diffusion-wave equation with two independent variables. The main results of the work are the proof of regular and strong solvability, as well as the Volterra property of three problems with conditions pointwise connecting the values of the tangent derivative of the desired solution on one of the characteristics with derivatives in various directions of the solution on an arbitrary curve lying inside the characteristic triangle for a fractional-order diffusion-hyperbolic equation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6f27b49864704da89f501e125d8a6c2f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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