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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2019, Volume 4, Issue 4, Pages 445–460
DOI: https://doi.org/10.24411/2500-0101-2019-14408 (Mi chfmj159) 		 
Mathematics

Entire and analytical solutions of abstract degenerate fractional differential equations

M. Kostić

University of Novi Sad, Novi Sad, Serbia
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DOI: https://doi.org/10.24411/2500-0101-2019-14408
Abstract: We are primarily concerned with the study of entire and analytical solutions of abstract degenerate (multi-term) fractional differential equations with Caputo time-fractional derivatives. We also analyze systems of such equations and furnish several illustrative examples to demonstrate usage of obtained theoretical results.
Keywords: abstract degenerate differential equation, Volterra integro-differential equation, fractional differential equation, entire solution, analytical solution, well-posedness.
Funding agency Grant number
Ministry of Science and Technology of Republic of Srpska 174024
The author is partially supported by grant no. 174024 of Ministry of Science and Technological Development, Republic of Serbia.
Received: 12.08.2019
Revised: 21.10.2019
Bibliographic databases:
Document Type: Article
UDC: 517.955+517.986.7
Language: English
Citation: M. Kostić, “Entire and analytical solutions of abstract degenerate fractional differential equations”, Chelyab. Fiz.-Mat. Zh., 4:4 (2019), 445–460
Citation in format AMSBIB
\Bibitem{Kos19}
\by M.~Kosti\'c
\paper Entire and analytical solutions of abstract degenerate fractional
differential equations
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2019
\vol 4
\issue 4
\pages 445--460
\mathnet{http://mi.mathnet.ru/chfmj159}
\crossref{https://doi.org/10.24411/2500-0101-2019-14408}
\elib{https://elibrary.ru/item.asp?id=41438318}
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