Open AccessCauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives
Author(s) -
М. О. Мамчуев,
AUTHOR_ID
Publication year - 2021
Publication title -
doklady adygskoj (čerkesskoj) meždunarodnoj akademii nauk
Language(s) - English
Resource type - Journals
eISSN - 2949-0928
pISSN - 1726-9946
DOI - 10.47928/1726-9946-2021-21-4-22-29
Subject(s) - uniqueness , mathematics , domain (mathematical analysis) , initial value problem , cauchy problem , cauchy distribution , representation (politics) , mathematical analysis , pure mathematics , law , politics , political science
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.