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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 36, Number 3, Pages 65–71
DOI: https://doi.org/10.26117/2079-6641-2021-36-3-65-71 (Mi vkam490) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Mixed boundary value problem for an ordinary differential equation with fractional derivatives with different origins

L.M. Eneevaab

a Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center
b Kabardino-Balkar State University, Nal'chik
Full-text PDF (290 kB) Citations (3)
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DOI: https://doi.org/10.26117/2079-6641-2021-36-3-65-71
Abstract: A mixed boundary value problem is solved for an ordinary differential equation containing a composition of left- and right-sided Riemann-Liouville and Caputo fractional differentiation operators. The problem is equivalently reduced to a Fredholm integral equation of the second kind, for which a sufficient condition for unique solvability is found. As a consequence, the Lyapunov inequality is proved for the problem under study.
Keywords: fractional differential equation with different origins, mixed boundary value problem, Riemann-Liouville derivative, Caputo derivative.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation Приоритет 2030
The name of the funding programme: This work was carried out with partial financial support under the «Water Wellbeing and Green Economy»project within the framework of the «Priority 2030″program. Organization that has provided funding: Ministry of Science and Higher Education.
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 26A33
Language: Russian
Citation: L.M. Eneeva, “Mixed boundary value problem for an ordinary differential equation with fractional derivatives with different origins”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 36:3 (2021), 65–71
Citation in format AMSBIB
\Bibitem{Ene21}
\by L.M. Eneeva
\paper Mixed boundary value problem for an ordinary differential equation with fractional derivatives with different origins
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 36
\issue 3
\pages 65--71
\mathnet{http://mi.mathnet.ru/vkam490}
\crossref{https://doi.org/10.26117/2079-6641-2021-36-3-65-71}
\elib{https://elibrary.ru/item.asp?id=47159795}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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