On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 7-11
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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.
@article{VKAM_2016_2_a0,
author = {L. H. Gadzova},
title = {On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {7--11},
publisher = {mathdoc},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2016_2_a0/}
}
TY - JOUR AU - L. H. Gadzova TI - On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2016 SP - 7 EP - 11 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2016_2_a0/ LA - ru ID - VKAM_2016_2_a0 ER -
%0 Journal Article %A L. H. Gadzova %T On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients %J Vestnik KRAUNC. Fiziko-matematičeskie nauki %D 2016 %P 7-11 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VKAM_2016_2_a0/ %G ru %F VKAM_2016_2_a0
L. H. Gadzova. On the asymptotics for the fundamental solution of the ordinary fractional order differential equation with constant coefficients. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 7-11. http://geodesic.mathdoc.fr/item/VKAM_2016_2_a0/