Geodesic
Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equations\\ with maxima
Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 1, pp. 113-122

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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. 
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     title = {Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equations\\ with maxima},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_1_a8/}
}
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T. K. Yuldashev; Kh. Kh. Saburov; T. A. Abduvahobov. Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equations\\ with maxima. Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 1, pp. 113-122. http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_1_a8/