Green Function of the First Boundary-Value Problem for the Fractional Diffusion-Wave Equation in a Multidimensional Rectangular Domain

In this paper, the Green functions of the first boundary-value problem for the fractional diffusion-wave equation in multidimensional (bounded and unbounded) hyper-rectangular domains are constructed.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 260; no. 3; pp. 325 - 334
Main Author Pskhu, A. V.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.01.2022
Springer
Springer Nature B.V
Subjects
Boundary value problems
Domains
Green's functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Wave equations
35K20
Tikhonov condition
35R11
fractional derivative
diffusion-wave equation
Dzhrbashyan–Nersesyan operator
Green function
boundary-value problem
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Summary:In this paper, the Green functions of the first boundary-value problem for the fractional diffusion-wave equation in multidimensional (bounded and unbounded) hyper-rectangular domains are constructed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05697-z