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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2016, Number 2(13), Pages 7–11
DOI: https://doi.org/10.18454/2079-6641-2016-13-2-7-11 (Mi vkam124) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients

L. H. Gadzova

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, Russia
Full-text PDF (264 kB) Citations (2)
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DOI: https://doi.org/10.18454/2079-6641-2016-13-2-7-11
Abstract: The asymptotics of the fundamental solution of the linear ordinary differential equation of fractional order with constant coefficients, for large values of spectral parameter λ, is found.
Keywords: asymptotic expansion, operator of fractional differentiation, derivative of Caputo, fundamental solution.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462-А
Received: 30.04.2016
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, Volume 13, Issue 2, Pages 5–9
DOI: https://doi.org/10.18454/2313-0156-2016-13-2-5-9
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34L99
Language: Russian
Citation: L. H. Gadzova, “On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 2(13), 7–11; Bulletin KRASEC. Phys. & Math. Sci., 13:2 (2016), 5–9
Citation in format AMSBIB
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\by L.~H.~Gadzova
\paper On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 2(13)
\pages 7--11
\mathnet{http://mi.mathnet.ru/vkam124}
\crossref{https://doi.org/10.18454/2079-6641-2016-13-2-7-11}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3535550}
\elib{https://elibrary.ru/item.asp?id=26527422}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 13
\issue 2
\pages 5--9
\crossref{https://doi.org/10.18454/2313-0156-2016-13-2-5-9}
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  • https://www.mathnet.ru/eng/vkam124
  • https://www.mathnet.ru/eng/vkam/y2016/i2/p7
    • This publication is cited in the following 2 articles:
    1. L. Kh. Gadzova, “Funktsiya Grina vnutrennei kraevoi zadachi dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka s postoyannymi koeffitsientami”, Materialy mezhdunarodnoi konferentsii po matematicheskomu modelirovaniyu v prikladnykh naukakh “International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19”. Belgorod, 20–24 avgusta 2019 g., Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 195, VINITI RAN, M., 2021, 25–34  mathnet  crossref  elib
    2. L. Kh. Gadzova, “Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator”, Math. Notes, 106:6 (2019), 904–908  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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