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News of the Kabardin-Balkar scientific center of RAS, 2016, Issue 2, Pages 30–34 (Mi izkab182)  
MATHEMATICS

The Cauchy and Dirichlet problems for ordinary differential equation of second order with regularized derivative of segment order

B. I. Efendiev

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а
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Abstract: For an ordinary differential equation of second order with regularized derivative of segment order we build a fundamental solution, that is used to provide explicit solution for the Cauchy and Dirichlet problems.
Keywords: regularized derivative of segment order, regularized fractional derivative, Cauchy problem, Dirichlet problem.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462-a
This work was financially supported by the Russian Foundation for Basic Research (project No. 06-01-00462-a).
Received: 18.02.2016
Document Type: Article
UDC: 517.927.2
Language: Russian
Citation: B. I. Efendiev, “The Cauchy and Dirichlet problems for ordinary differential equation of second order with regularized derivative of segment order”, News of the Kabardin-Balkar scientific center of RAS, 2016, no. 2, 30–34
Citation in format AMSBIB
\Bibitem{Efe16}
\by B.~I.~Efendiev
\paper The Cauchy and Dirichlet problems for ordinary differential equation of second order with regularized derivative of segment order
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2016
\issue 2
\pages 30--34
\mathnet{http://mi.mathnet.ru/izkab182}
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