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Matematicheskie Zametki, 2005, Volume 77, Issue 1, Pages 28–41
DOI: https://doi.org/10.4213/mzm2466 (Mi mzm2466) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Cauchy-type problem for an abstract differential equation with fractional derivatives

A. V. Glushak

Voronezh State Technical University
Full-text PDF (230 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm2466
Abstract: The uniform well-posedness of a Cauchy-type problem with two fractional derivatives and bounded operator $A$ is proved. For an unbounded operator $A$ we present a test for the uniform well-posedness of the problem under consideration consistent with the test for the uniform well-posedness of the Cauchy problem for an equation of second order.
Received: 05.07.2002
Revised: 24.02.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 1, Pages 26–38
DOI: https://doi.org/10.1007/s11006-005-0003-5
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: A. V. Glushak, “Cauchy-type problem for an abstract differential equation with fractional derivatives”, Mat. Zametki, 77:1 (2005), 28–41; Math. Notes, 77:1 (2005), 26–38
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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