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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016 Number 2(13), Pages 7–11 (Mi vkam124)

This article is cited 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

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 $\lambda$, is found.

Keywords: asymptotic expansion, operator of fractional differentiation, derivative of Caputo, fundamental solution.

UDC: 517.91

MSC: 34L99

Received: 30.04.2016

DOI: 10.18454/2079-6641-2016-13-2-7-11


 English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, 13:2, 5–9

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© Steklov Math. Inst. of RAS, 2024