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Eurasian Mathematical Journal, 2018, Volume 9, Number 3, Pages 33–57
DOI: https://doi.org/10.32523/2077-9879-2018-9-3-33-57 (Mi emj304) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On a class of abstract degenerate multi-term fractional differential equations in locally convex spaces

V. E. Fedorovab, M. Kostićc

a Functional Materials Laboratory, South Ural State University, 76 Lenin Av., 454080 Chelyabinsk, Russia
b Department of Mathematical Analysis, Chelyabinsk State University, 129 Kashirin Brothers St., 454001 Chelyabinsk, Russia
c Faculty of Technical Sciences, University of Novi Sad, 6 Trg D.Obradovića, 21125 Novi Sad, Serbia
Full-text PDF (501 kB) Citations (12)
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DOI: https://doi.org/10.32523/2077-9879-2018-9-3-33-57
Abstract: In this paper, we consider regularized solutions for a class of abstract degenerate multi-term fractional differential equations with Caputo derivatives. Our results seem to be new even for non-degenerate differential equations under consideration.
Keywords and phrases: abstract time-fractional differential equations, degenerate differential equations, fractional calculus, ultra-logarithmic regions, ultradistribution semigroups.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
1.6462.2017/BCh
Ministry of Education, Science and Technical Development of Serbia 174024
The first named author is supported by Act 211 of the Government of the Russian Federation, contract 02.A03.21.0011, and by the Ministry of Education and Science of the Russian Federation, task No 1.6462.2017/BCh. The second named author is partially supported by grant 174024 of the Ministry of Science and Technological Development, Republic of Serbia.
Received: 11.05.2016
Bibliographic databases:
Document Type: Article
MSC: 34K30, 34A08, 35R11
Language: English
Citation: V. E. Fedorov, M. Kostić, “On a class of abstract degenerate multi-term fractional differential equations in locally convex spaces”, Eurasian Math. J., 9:3 (2018), 33–57
Citation in format AMSBIB
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\by V.~E.~Fedorov, M.~Kosti\'c
\paper On a class of abstract degenerate multi-term fractional differential equations in locally convex spaces
\jour Eurasian Math. J.
\yr 2018
\vol 9
\issue 3
\pages 33--57
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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