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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 167, Pages 52–61 (Mi into489)
This article is cited in 1 paper

Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain

A. V. Pskhu

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper, the Green functions of the first boundary-value problem for the fractional diffusion wave equation in multidimensional (bounded and unbounded) hyper-rectangular domains are constructed.

Keywords: diffusion wave equation, Green function, fractional derivative, Dzhrbashyan–Nersesyan operator, boundary-value problem, Tikhonov condition.

UDC: 517.956

MSC: 35R11, 35K20

DOI: 10.36535/0233-6723-2019-167-52-61



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