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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1334–1344 (Mi smj2608)  
This article is cited in 7 scientific papers (total in 7 papers)

The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces

A. O. Lopushansky

Institute of Mathematics, Rzeszów University, Rzeszów, Poland
Full-text PDF (325 kB) Citations (7)
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Abstract: For an equation with fractional derivatives we establish the existence of a solution to the Cauchy problem which is classical in time and belongs to Bessel potential classes in space variables.
Keywords: distribution, convolution, fractional derivative, Bessel potential space, Green's function.
Received: 06.01.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 1089–1097
DOI: https://doi.org/10.1134/S0037446614060111
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. O. Lopushansky, “The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces”, Sibirsk. Mat. Zh., 55:6 (2014), 1334–1344; Siberian Math. J., 55:6 (2014), 1089–1097
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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