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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2016, Volume 20, Number 4, Pages 636–643 (Mi vsgtu1516)  

This article is cited in 1 scientific paper (total in 1 paper)

Differential Equations and Mathematical Physics

On a problem for mixed type equation with partial Riemann–Liouville fractional derivative

O. A. Repinab, A. V. Tarasenkob

a Samara State Economic University, Samara, 443090, Russian Federation
b Samara State Technical University, Samara, 443100, Russian Federation

Abstract: The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order. The boundary condition contains a linear combination of generalized operators of fractional order with the Gauss hypergeometric function. The solution of the problem is given explicitly.

Keywords: boundary value problem, generalized fractional integro-differentiation operator, differential equation of fractional order, Gauss hypergeometric function.

DOI: https://doi.org/10.14498/vsgtu1516

Full text: PDF file (788 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 517.956.6
MSC: 35M12
Original article submitted 25/X/2016
revision submitted – 14/XI/2016

Citation: O. A. Repin, A. V. Tarasenko, “On a problem for mixed type equation with partial Riemann–Liouville fractional derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:4 (2016), 636–643

Citation in format AMSBIB
\Bibitem{RepTar16}
\by O.~A.~Repin, A.~V.~Tarasenko
\paper On a problem for mixed type equation with partial Riemann--Liouville fractional derivative
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2016
\vol 20
\issue 4
\pages 636--643
\mathnet{http://mi.mathnet.ru/vsgtu1516}
\crossref{https://doi.org/10.14498/vsgtu1516}
\zmath{https://zbmath.org/?q=an:06964660}
\elib{https://elibrary.ru/item.asp?id=28862959}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. O. A. Repin, “On a problem for mixed-type equation with fractional derivative”, Russian Math. (Iz. VUZ), 62:8 (2018), 38–42  mathnet  crossref  isi
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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