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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 9, Pages 13–24 (Mi ivm3062)  
This article is cited in 6 scientific papers (total in 6 papers)

Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives

A. V. Glushak

Chair of Mathematical Analysis, Belgorod State University, Belgorod, Russia
Full-text PDF (208 kB) Citations (6)
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Abstract: We prove the uniform correctness of a Cauchy-type problem with two fractional derivatives and a bounded operator $A$. We propose a criterion for the uniform correctness of unbounded operator $A$.
Keywords: equations of fractional order, uniform correctness of Cauchy-type problem, resolving operator.
Received: 24.10.2006
Revised: 19.12.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 9, Pages 10–19
DOI: https://doi.org/10.3103/S1066369X09090023
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: A. V. Glushak, “Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9, 13–24; Russian Math. (Iz. VUZ), 53:9 (2009), 10–19
Citation in format AMSBIB
\Bibitem{Glu09}
\by A.~V.~Glushak
\paper Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 9
\pages 13--24
\mathnet{http://mi.mathnet.ru/ivm3062}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2650571}
\zmath{https://zbmath.org/?q=an:1177.47090}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 9
\pages 10--19
\crossref{https://doi.org/10.3103/S1066369X09090023}
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  • https://www.mathnet.ru/eng/ivm/y2009/i9/p13
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :134
    References:85
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