Fractional Calculus in Russia at the End of XIX Century

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 22 Jul 2021Embargo end date: 01 Jun 2021 Belarus English Publisher:MDPI AGJournal:Mathematics, volume 9, page 1,736 (eissn: 2227-7390,

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Authors: Rogosin, Sergei; Dubatovskaya, Maryna;

doi: 10.3390/math9151736 , 10.48550/arxiv.2106.11772

arXiv: 2106.11772

Fractional Calculus in Russia at the End of XIX Century

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Abstract

In this survey paper, we analyze the development of Fractional Calculus in Russia at the end of the XIX century, in particular, the results by A. V. Letnikov, N. Ya. Sonine, and P. A. Nekrasov. Some of the discussed results are either unknown or inaccessible.

Country

Belarus

Related Organizations

Belarusian State University
Belarus

Keywords

Nekrasov fractional derivative, Sonine kernel, Grünwald-Letnikov approach, Mathematics - Complex Variables, Mathematics - History and Overview, History and Overview (math.HO), ЭБ БГУ::ТЕХНИЧЕСКИЕ И ПРИКЛАДНЫЕ НАУКИ. ОТРАСЛИ ЭКОНОМИКИ::Электроника. Радиотехника, QA1-939, FOS: Mathematics, fractional integrals and derivatives, Complex Variables (math.CV), Mathematics, 26A33, 34A08, 34K37, 35R11, 39A70

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