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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 6, Pages 1303–1321
DOI: https://doi.org/10.17377/smzh.2018.59.607 (Mi smj3045) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Cauchy problem for the fractional diffusion equation in a weighted Hölder space

R. M. Dzhafarov, N. V. Krasnoshchek

Institute of Applied Mathematics and Mechanics, Slavyansk, Ukraine
Full-text PDF (350 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2018.59.607
Abstract: Under study is the Cauchy problem for the fractional diffusion equation with a Caputo derivative. The existence and uniqueness theorems for a smooth solution are proven in a weighted Hölder space.
Keywords: Caputo derivative, fundamental solution, Cauchy problem, weighted Hölder space.
Received: 30.10.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 1034–1050
DOI: https://doi.org/10.1134/S0037446618060071
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: R. M. Dzhafarov, N. V. Krasnoshchek, “The Cauchy problem for the fractional diffusion equation in a weighted Hölder space”, Sibirsk. Mat. Zh., 59:6 (2018), 1303–1321; Siberian Math. J., 59:6 (2018), 1034–1050
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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