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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 696–706
DOI: https://doi.org/10.17377/semi.2018.15.055 (Mi semr946) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Cauchy problem for high even order parabolic equation with time fractional derivative

L. L. Karasheva

Institute of Applied Mathematics and Automation of KBSC RAS, Shortanova str., 89-A, 360000, Nalchik, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.055
Abstract: In the paper, we construct a fundamental solution for a higher order parabolic equation with time-fractional derivative and study its properties. We solve the Cauchy problem for the equation under study and prove a uniqueness theorem in the class of fast-growing functions.
Keywords: fundamental solution, Riemann–Liouville fractional derivative, Cauchy problem, high order equation.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462_а
Received December 1, 2017, published June 11, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35K25
Language: Russian
Citation: L. L. Karasheva, “Cauchy problem for high even order parabolic equation with time fractional derivative”, Sib. Èlektron. Mat. Izv., 15 (2018), 696–706
Citation in format AMSBIB
\Bibitem{Kar18}
\by L.~L.~Karasheva
\paper Cauchy problem for high even order parabolic equation with time fractional derivative
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 696--706
\mathnet{http://mi.mathnet.ru/semr946}
\crossref{https://doi.org/10.17377/semi.2018.15.055}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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