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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1201–1207 (Mi smj1034)  
This article is cited in 13 scientific papers (total in 13 papers)

On one class of operators associated with differential equations of fractional order

T. S. Aleroev

Moscow Financial-legal Academy
Full-text PDF (152 kB) Citations (13) English version article
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Abstract: We carry out spectral analysis of one class of integral operators associated with fractional order differential equations applicable in mechanics. We establish connection between the eigenvalues of these operators and the zeros of Mittag-Leffler type functions. We give sufficient conditions for complete nonselfadjointness.
Keywords: Mittag-Leffler type function, completely nonselfadjoint operator, nonnegative kernel, eigenfunctions, eigenvalues, operator of fractional differentiation.
Received: 02.12.2003
Revised: 09.06.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 6, Pages 963–968
DOI: https://doi.org/10.1007/s11202-005-0093-z
Bibliographic databases:
UDC: 517.927.2
Language: Russian
Citation: T. S. Aleroev, “On one class of operators associated with differential equations of fractional order”, Sibirsk. Mat. Zh., 46:6 (2005), 1201–1207; Siberian Math. J., 46:6 (2005), 963–968
Citation in format AMSBIB
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\by T.~S.~Aleroev
\paper On one class of operators associated with differential equations of fractional order
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 6
\pages 1201--1207
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2195024}
\zmath{https://zbmath.org/?q=an:1113.26009}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 6
\pages 963--968
\crossref{https://doi.org/10.1007/s11202-005-0093-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234073700001}
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  • https://www.mathnet.ru/eng/smj/v46/i6/p1201
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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