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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2016, Volume 8, Issue 1, Pages 28–33
DOI: https://doi.org/10.14529/mmph160104 (Mi vyurm285) 		 
Mathematics

Normed systems and their application to the solutions of differential equations of fractional order

B. Kh. Turmetov

H. A. Yassawe International Kazakh-Turkish University, Turkistan, Kazakhstan
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DOI: https://doi.org/10.14529/mmph160104
Abstract: This article describes a method of constructing the normed systems related to the differentiation of fractional order. Using the properties of normed systems the rigor solutions of ordinary differential equations of fractional order are given.
Keywords: normed system; fractional derivative; generalized-homogeneous operator; fundamental solution; inhomogeneous equation.
Received: 06.12.2015
Bibliographic databases:
Document Type: Article
UDC: 517.962
Language: Russian
Citation: B. Kh. Turmetov, “Normed systems and their application to the solutions of differential equations of fractional order”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:1 (2016), 28–33
Citation in format AMSBIB
\Bibitem{Tur16}
\by B.~Kh.~Turmetov
\paper Normed systems and their application to the solutions of differential equations of fractional order
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2016
\vol 8
\issue 1
\pages 28--33
\mathnet{http://mi.mathnet.ru/vyurm285}
\crossref{https://doi.org/10.14529/mmph160104}
\elib{https://elibrary.ru/item.asp?id=25277856}
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