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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/chfmj274
https://www.mathnet.ru/eng/chfmj/v7/i1/p113
This publication is cited in the following 3 articles:
T. K. Yuldashev, A. K. Fayziyev, F. D. Rakhmonov, “Mixed problem for a nonlinear impulsive differential equation of parabolic type”, Chelyab. fiz.-matem. zhurn., 9:1 (2024), 111–123
Aziz Fayziyev, “NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM FOR A SECOND ORDER IMPULSIVE SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS WITH MIXED MAXIMA”, VOGUMFT, 2023, no. 2(3), 208
T. K. Yuldashev, T. G. Ergashev, T. A. Abduvahobov, “Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima”, Chelyab. fiz.-matem. zhurn., 7:3 (2022), 312–325
Citation in format AMSBIB
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