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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 510, Pages 5–27 (Mi znsl7191)  
This article is cited in 1 scientific paper (total in 1 paper)

Probabilistic approximation of a Riemann–Liouville type operator with a stability index greater than two

I. A. Alekseevab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
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Abstract: 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.
Key words and phrases: Riemann–Liouville operator, evolutionary equation, stable distribution.
Funding agency Grant number
Russian Science Foundation 22-21-00016
Received: 02.09.2022
Document Type: Article
UDC: 519.2
Language: Russian
Citation: I. A. Alekseev, “Probabilistic approximation of a Riemann–Liouville type operator with a stability index greater than two”, Probability and statistics. Part 32, Zap. Nauchn. Sem. POMI, 510, POMI, St. Petersburg, 2022, 5–27
Citation in format AMSBIB
\Bibitem{Ale22}
\by I.~A.~Alekseev
\paper Probabilistic approximation of a Riemann--Liouville type operator with a stability index greater than two
\inbook Probability and statistics. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 510
\pages 5--27
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7191}
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  • https://www.mathnet.ru/eng/znsl/v510/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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