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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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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 4(25), Pages 25–36
DOI: https://doi.org/10.14498/vsgtu1014 (Mi vsgtu1014) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Differential Equations

Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order

O. A. Repina, S. K. Kumykovab

a Dept. of Mathematical Statistics and Econometrics, Samara State Economic University, Samara
b Dept. of Function Theory, Kabardino-Balkar State University, Nal'chik
Full-text PDF (229 kB) Citations (13)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1014
Abstract: The unique solvability of internally boundary value problem for equation of mixed type of third order with multiple characteristics is investigated. The uniqueness theorem is proved with the restrictions on certain features and different orders of fractional integro-differentiation. The existence of solution is equivalent reduced to a Fredholm integral equation of the second kind.
Keywords: boundary value problem, fractional integro-differentiation operators, Gauss hypergeometric function, Fredholm integral equation.
Original article submitted 17/X/2011
revision submitted – 23/XI/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.6 + 517.968.23
MSC: Primary 35M12; Secondary 26A33, 33C05
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011), 25–36
Citation in format AMSBIB
\Bibitem{RepKum11}
\by O.~A.~Repin, S.~K.~Kumykova
\paper Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 4(25)
\pages 25--36
\mathnet{http://mi.mathnet.ru/vsgtu1014}
\crossref{https://doi.org/10.14498/vsgtu1014}
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  • https://www.mathnet.ru/eng/vsgtu/v125/p25
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :260
    References:109
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