dc.contributor.author
Bekbolat, Bayan
dc.contributor.author
Nalzhupbayeva, Gulzat
dc.contributor.author
Tokmagambetov, Niyaz
dc.date.accessioned
2025-03-11T09:51:49Z
dc.date.available
2025-03-11T09:51:49Z
dc.date.issued
2024-11-26
dc.identifier.uri
http://hdl.handle.net/2072/482417
dc.description.abstract
The purpose of this paper is to establish solvability results for both direct and inverse problems associated with the diffusion equation involving the Dunkl-Laplacian operator in a punctured domain. We demonstrate the existence and uniqueness of solutions for both types of problems. Additionally, explicit formulas for the solutions to the considered problems are derived.
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dc.description.sponsorship
This research was funded by the Committee of Science of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grants No. AP14972634 and AP23487589). Niyaz Tokmagambetov is also supported by the Beatriu de Pinos programme and by AGAUR (Generalitat de Catalunya) grant 2021 SGR 00087.
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dc.format.extent
14 p.
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dc.relation.ispartof
Fractal and Fractional
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Dunkl operator
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dc.subject.other
Singular Laplacian
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dc.subject.other
Heat equation
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dc.subject.other
Inverse source problem
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dc.subject.other
Direct problem
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dc.title
The Diffusion Equation Involving the Dunkl-Laplacian Operator in a Punctured Domain
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.3390/fractalfract8120696
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
