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JOURNALS // Adyghe International Scientific Journal // Archive

Reports of AIAS, 2021 Volume 21, Issue 4, Pages 22–29 (Mi aman27)

This article is cited in 1 paper

MATHEMATICS

Cauchy problem for a system of equations with the partial Gerasimov - Caputo derivatives

M. O. Mamchuev

Institute of Applied Mathematics and Automation, Nalchik

Abstract: For the system of equations with the partial Gerasimov – Caputo derivatives, a general representation of regular in a rectangular domain solutions is constructed. Cauchy problem is investigated. Theorems of existence and uniqueness of the solution are proved.

Keywords: system of partial differential equations, fractional derivative, Gerasimov – Caputo derivative, Green's function method, Cauchy problem, fundamental solution.

UDC: 517.95

DOI: 10.47928/1726-9946-2021-21-4-22-29



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