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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 6, Pages 1288–1299 (Mi smj2274)  
This article is cited in 8 scientific papers (total in 8 papers)

The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative

H. P. Lopushanskaa, A. O. Lopushanskyjb, E. V. Pasichnika

a Ivan Franko National University of L'viv, L'viv, Ukraine
b Institute of Mathematics, Rzeszów University, Rzeszów, Poland
Full-text PDF (319 kB) Citations (8)
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Abstract: We prove the existence and uniqueness theorem of solutions to the Cauchy problem for the equations with the right-hand side and the initial condition possessing the fractional time derivative and generalized functions.
Keywords: generalized function, convolution, derivative of fractional order, Green function.
Received: 31.12.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 6, Pages 1022–1031
DOI: https://doi.org/10.1134/S0037446611060073
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: H. P. Lopushanska, A. O. Lopushanskyj, E. V. Pasichnik, “The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative”, Sibirsk. Mat. Zh., 52:6 (2011), 1288–1299; Siberian Math. J., 52:6 (2011), 1022–1031
Citation in format AMSBIB
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\issue 6
\pages 1288--1299
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :128
    References:98
    First page:7
     
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