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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 155–170
DOI: https://doi.org/10.13108/2016-8-3-155 (Mi ufa333) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator

B. Kh. Turmetovab

a Kh. Yasavi International Kazakh-Turkish University
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
English version PDF (374 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.13108/2016-8-3-155
Abstract: In this paper we study the solvability of one boundary value problem for an inhomogeneous polyharmonic equation. As a boundary operator, we consider a differentiation operator of fractional order in the Hadamard sense. The considered problem is a generalization of the known Neumann problem.
Keywords: polyharmonic equation, fractional derivative, Neumann problems, Hadamard operators.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0819/GF4
Received: 24.08.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35L75, 35Q53, 37K10, 37K35
Language: English
Original paper language: Russian
Citation: B. Kh. Turmetov, “On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator”, Ufa Math. J., 8:3 (2016), 155–170
Citation in format AMSBIB
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\paper On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 3
\pages 155--170
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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