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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2022, Volume 7, Issue 1, Pages 113–122
DOI: https://doi.org/10.47475/2500-0101-2022-17108 (Mi chfmj274) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equationswith maxima

T. K. Yuldashev, Kh. Kh. Saburov, T. A. Abduvahobov

National University of Uzbekistan, Tashkent, Uzbekistan
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DOI: https://doi.org/10.47475/2500-0101-2022-17108
Abstract: A nonlocal boundary value problem for a system of ordinary integro-differential equations with impulsive effects, maxima and fractional Gerasimov — Caputo operator is investigated. The boundary value condition is given in the integral form. The method of successive approximations in combination with the method of compressing mapping is used. The existence and uniqueness of a solution of the boundary value problem are proved.
Keywords: impulsive integro-differential equation, Gerasimov — Caputo operator, nonlocal boundary condition, successive approximations, unique solvability.
Received: 29.12.2021
Revised: 27.02.2022
Bibliographic databases:
Document Type: Article
UDC: 517.911
Language: English
Citation: T. K. Yuldashev, Kh. Kh. Saburov, T. A. Abduvahobov, “Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equationswith maxima”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 113–122
Citation in format AMSBIB
\Bibitem{YulSabAbd22}
\by T.~K.~Yuldashev, Kh.~Kh.~Saburov, T.~A.~Abduvahobov
\paper Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equations\\ with maxima
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2022
\vol 7
\issue 1
\pages 113--122
\mathnet{http://mi.mathnet.ru/chfmj274}
\crossref{https://doi.org/10.47475/2500-0101-2022-17108}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4409135}
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