Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 5-27
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I. A. Alekseev. Probabilistic approximation of a Riemann–Liouville type operator with a stability index greater than two. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 5-27. http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a0/
@article{ZNSL_2022_510_a0,
author = {I. A. Alekseev},
title = {Probabilistic approximation of a {Riemann{\textendash}Liouville} type operator with a stability index greater than two},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--27},
year = {2022},
volume = {510},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a0/}
}
TY - JOUR
AU - I. A. Alekseev
TI - Probabilistic approximation of a Riemann–Liouville type operator with a stability index greater than two
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2022
SP - 5
EP - 27
VL - 510
UR - http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a0/
LA - ru
ID - ZNSL_2022_510_a0
ER -
%0 Journal Article
%A I. A. Alekseev
%T Probabilistic approximation of a Riemann–Liouville type operator with a stability index greater than two
%J Zapiski Nauchnykh Seminarov POMI
%D 2022
%P 5-27
%V 510
%U http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a0/
%G ru
%F ZNSL_2022_510_a0
In this paper, we introduce Riemann-Liouville type operators for the complex index $\alpha$. A probabilistic approximation of the solution of the Cauchy problem for an evolutionary equation with a Riemann–Liouville type operator for a complex $\alpha$ is constructed.
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