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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 2, Pages 85–93 (Mi chfmj22)  
Mathematics

A note on semilinear degenerate relaxation equations associated with abstract differential operators

M. Kostić

University of Novi Sad, Novi Sad, Serbia
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Abstract: The main aim of this paper is to prove some new results on semilinear degenerate relaxation equations associated with abstract differential operators. In order to do that, we use the Fourier multiplier techniques.
Keywords: abstract semilinear degenerate relaxation differential equation, Mittag-Leffler function, Caputo time-fractional derivative, $(\alpha,\alpha,\overline{P_{1}(A)},\overline{P_{2}(A)},C)$-resolvent family, abstract differential operator.
Funding agency Grant number
Serbian Ministry of Science and Technological Development 174024
The author is partially supported by grant 174024 of Ministry of Science and Technological Development, Republic of Serbia.
Received: 25.07.2015
Revised: 12.05.2016
Bibliographic databases:
Document Type: Article
UDC: 517.983.5
Language: English
Citation: M. Kostić, “A note on semilinear degenerate relaxation equations associated with abstract differential operators”, Chelyab. Fiz.-Mat. Zh., 1:2 (2016), 85–93
Citation in format AMSBIB
\Bibitem{Kos16}
\by M.~Kosti\'c
\paper A note on semilinear degenerate relaxation equations associated with abstract differential operators
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 2
\pages 85--93
\mathnet{http://mi.mathnet.ru/chfmj22}
\elib{https://elibrary.ru/item.asp?id=27541622}
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