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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 3–12 (Mi ivm8935)  
This article is cited in 8 scientific papers (total in 8 papers)

On a class of non-selfadjoint operators, corresponding to differential equations of fractional order

T. S. Aleroeva, Kh. T. Aleroevab

a Chair of Higher Mathematics, Moscow State Academy of a Municipal Services and Construction, 30 Srednyaya Kalitnikovskaya str., Moscow, 109029 Russia
b Chair of Theory of Probability and Applied Mathematics, Moscow Technical University of Communications and Information Science, 8a Aviamotornaya str., Moscow, 111024 Russia
Full-text PDF (206 kB) Citations (8)
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Abstract: We present a research method for non-selfadjoint integral operators, associated with differential equations of fractional order, within the frameworks of non-selfadjoint approach. In particular, we obtain estimates for the eigenfunctions and eigenvalues of the boundary-value problem for the fractional oscillatory equation.
Keywords: function of Mittag-Leffler type, spectrum, eigenvalue, fractional derivative.
Received: 04.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 10, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X14100016
Bibliographic databases:
Document Type: Article
UDC: 517.927
Language: Russian
Citation: T. S. Aleroev, Kh. T. Aleroeva, “On a class of non-selfadjoint operators, corresponding to differential equations of fractional order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 3–12; Russian Math. (Iz. VUZ), 58:10 (2014), 1–9
Citation in format AMSBIB
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\by T.~S.~Aleroev, Kh.~T.~Aleroeva
\paper On a~class of non-selfadjoint operators, corresponding to differential equations of fractional order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 10
\pages 3--12
\mathnet{http://mi.mathnet.ru/ivm8935}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 10
\pages 1--9
\crossref{https://doi.org/10.3103/S1066369X14100016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906857485}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :208
    References:94
    First page:27
     
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