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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 1, Pages 73–81 (Mi ivm8769)  
This article is cited in 4 scientific papers (total in 4 papers)

Solvability of a nonlocal problem for a loaded parabolic-hyperbolic equation

A. V. Tarasenko

Chair of Higher Mathematics, Samara State University of Architecture and Building, Samara, Russia
Full-text PDF (192 kB) Citations (4)
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Abstract: For a mixed-type equation we study a problem with generalized fractional integro-differentiation operators in the boundary condition. We prove its unique solvability under inequality-type conditions imposed on the known functions for various orders of fractional integro-differentiation operators. We prove the existence of a solution to the problem by reducing the latter to a fractional differential equation.
Keywords: boundary value problem, generalized fractional integro-differentiation operators, Gauss hypergeometric function.
Received: 15.12.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 1, Pages 64–71
DOI: https://doi.org/10.3103/S1066369X13010076
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. V. Tarasenko, “Solvability of a nonlocal problem for a loaded parabolic-hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 1, 73–81; Russian Math. (Iz. VUZ), 57:1 (2013), 64–71
Citation in format AMSBIB
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\by A.~V.~Tarasenko
\paper Solvability of a~nonlocal problem for a~loaded parabolic-hyperbolic equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 1
\pages 73--81
\mathnet{http://mi.mathnet.ru/ivm8769}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 1
\pages 64--71
\crossref{https://doi.org/10.3103/S1066369X13010076}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872392646}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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