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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2022 Volume 7, Issue 1, Pages 113–122 (Mi chfmj274)

This article is cited 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

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.

UDC: 517.911

Received: 29.12.2021
Revised: 27.02.2022

Language: English

DOI: 10.47475/2500-0101-2022-17108



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