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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 10, Pages 33–46
DOI: https://doi.org/10.26907/0021-3446-2020-10-33-46 (Mi ivm9617) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order

B. I. Islomov, O. Kh. Abdullaev

National University of Uzbekistan naimed after M.Ulugbek, 4 Universitetskaya str., Tashkent, 100174 Republic of Uzbekistan
Full-text PDF (387 kB) Citations (11)
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DOI: https://doi.org/10.26907/0021-3446-2020-10-33-46
Abstract: This work devoted to uniqueness and existence of solution of the local and non-local problems with integral gluing condition for the loaded parabolic-hyperbolic type equation involving Caputo derivatives which trace of solution involved into the Erdelyi-Kober integral operator. The uniqueness of solution is proved using by the method of integral energy. The existence of solution was proved by the method of integral equations.
Keywords: loaded equation, parabolic-hyperbolic type, Caputo derivatives, integral gluing condition, uniqueness and existence of solution, integral equations.
Received: 27.11.2019
Revised: 17.01.2020
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 10, Pages 29–42
DOI: https://doi.org/10.3103/S1066369X20100047
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: B. I. Islomov, O. Kh. Abdullaev, “Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10, 33–46; Russian Math. (Iz. VUZ), 64:10 (2020), 29–42
Citation in format AMSBIB
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\paper Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2020
\issue 10
\pages 33--46
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\crossref{https://doi.org/10.26907/0021-3446-2020-10-33-46}
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\jour Russian Math. (Iz. VUZ)
\yr 2020
\vol 64
\issue 10
\pages 29--42
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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