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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2019, Volume 28, Number 3, Pages 32–39
DOI: https://doi.org/10.26117/2079-6641-2019-28-3-32-39 (Mi vkam359) 		 
This article is cited in 7 scientific papers (total in 7 papers)

MATHEMATICS

Lyapunov inequality for an equation with fractional derivatives with different origins

L M. Eneeva

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89 A, Russia
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DOI: https://doi.org/10.26117/2079-6641-2019-28-3-32-39
Abstract: We consider an ordinary differential equation of fractional order with the composition of left and rightsided fractional derivatives, which is a model equation of motion in fractal media. We find a necessary condition for existence of nontrivial solution of homogeneous Dirichlet problem for the equation under consideration. The condition has the form of integral estimate for the potential and is an analog of Lyapunov inequality.
Keywords: Riemann-Liouville fractional derivative, Caputo fractional derivative, Dirichlet problem, Lyapunov inequality.
Document Type: Article
UDC: 517.927
MSC: 26A33
Language: Russian
Citation: L M. Eneeva, “Lyapunov inequality for an equation with fractional derivatives with different origins”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 28:3 (2019), 32–39
Citation in format AMSBIB
\Bibitem{Ene19}
\by L~M.~Eneeva
\paper Lyapunov inequality for an equation with fractional derivatives with different origins
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 28
\issue 3
\pages 32--39
\mathnet{http://mi.mathnet.ru/vkam359}
\crossref{https://doi.org/10.26117/2079-6641-2019-28-3-32-39}
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    • This publication is cited in the following 7 articles:
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