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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 40, Number 3, Pages 64–71
DOI: https://doi.org/10.26117/2079-6641-2022-40-3-64-71 (Mi vkam554) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Solution of a mixed boundary value problem for an equation with fractional derivatives with different origins

L. M. Èneeva

Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center RAS
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DOI: https://doi.org/10.26117/2079-6641-2022-40-3-64-71
Abstract: A solution of a mixed boundary value problem for an ordinary differential equation of fractional order is constructed. The main part of the equation is a composition of left- and right-hand Riemann-Liouville and Caputo fractional differentiation operators. A representation of the solution of the problem under study is found, and an estimate for the eigenvalues is also obtained.
Keywords: fractional differential equation with different origins, mixed boundary value problem, Riemann-Liouville derivative, Caputo derivative.
Bibliographic databases:
Document Type: Article
UDC: 17.27.2
MSC: Primary 26A33; Secondary 34B05
Language: Russian
Citation: L. M. Èneeva, “Solution of a mixed boundary value problem for an equation with fractional derivatives with different origins”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 64–71
Citation in format AMSBIB
\Bibitem{Ene22}
\by L.~M.~\`Eneeva
\paper Solution of a mixed boundary value problem for an equation with fractional derivatives with different origins
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 40
\issue 3
\pages 64--71
\mathnet{http://mi.mathnet.ru/vkam554}
\crossref{https://doi.org/10.26117/2079-6641-2022-40-3-64-71}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529216}
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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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