Reports AIAS. Vol. 21, no 4. P. 22-29. ISSN 1726-9946
DOI: 10.47928/1726-9946-2021-21-4-22-29
MATHEMATICS
Research Article
Cauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives
Mamchuev M.O. – corresponding member of AIAS
Institute of Applied Mathematics and Automation KBSC RAS, Nalchik
E-mail: mamchuev@rambler.ru
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.
© M.O. Mamchuev, 2021
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For citation. Mamchuev M.O. Cauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives. Reports Adyghe (Circassian) International Academy of Sciences. 2021, vol. 21, no. 4, pp. 22-29. DOI: 10.47928/1726-9946-2021-21-4-22-29