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Nanosystems: Physics, Chemistry, Mathematics, 2021, Volume 12, Issue 4, Pages 418–424
DOI: https://doi.org/10.17586/2220-8054-2021-12-4-418-424 (Mi nano1035) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative

U. Baltaevaab, Y. Alikulovc, I. I. Baltaevab, A. Ashirovad

a Khorezm Mamun Academy, Markaz-1, 220900, Khiva, Uzbekistan
b Urgench State University, Kh.Alimdjan str. 14, 220100, Urgench, Uzbekistan
c Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi, Amir Temur str. 108, 100200 Tashkent, Uzbekistan
d Urganch branch of Tashkent University of Information Technology named after Muhammad al-Khwarizmi, Al Khorezmi str. 110, 220100 Urgench, Uzbekistan
Full-text PDF (335 kB) Citations (3)
DOI: https://doi.org/10.17586/2220-8054-2021-12-4-418-424
Abstract: In this paper, we prove the unique solvability of an analogue problem Darboux for a loaded integro-differential equation with Caputo operator by method of integral equations. The problem is equivalently reduced to a system of integral equations, which is unconditionally and uniquely solvable.
Keywords: integro-differential equations, Caputo fractional derivative, loaded equation, nonlocal problem, Bessel function.
Received: 09.06.2021
Revised: 17.07.2021
Bibliographic databases:
Document Type: Article
Language: English
Citation: U. Baltaeva, Y. Alikulov, I. I. Baltaeva, A. Ashirova, “Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative”, Nanosystems: Physics, Chemistry, Mathematics, 12:4 (2021), 418–424
Citation in format AMSBIB
\Bibitem{BalAliBal21}
\by U.~Baltaeva, Y.~Alikulov, I.~I.~Baltaeva, A.~Ashirova
\paper Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2021
\vol 12
\issue 4
\pages 418--424
\mathnet{http://mi.mathnet.ru/nano1035}
\crossref{https://doi.org/10.17586/2220-8054-2021-12-4-418-424}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000704338700002}
\elib{https://elibrary.ru/item.asp?id=46461419 }
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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