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Reports of AIAS, 2021 Volume 21, Issue 4, Pages 30–36 (Mi aman28)

MATHEMATICS

The Riemann function of the Goursat problem for a generalized telegraph equation with constant coefficients

R. A. Pshibikhova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper, for a generalized telegraph equation with constant coefficients and two independent variables, we construct a solution to an analogue of the Goursat problem.

Keywords: The Riemann function, derivative of the Caputo, derivative of the Riemann - Liouville, Prabhakar function, telegraph equation.

UDC: 517.95

DOI: 10.47928/1726-9946-2021-21-4-30-36



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© Steklov Math. Inst. of RAS, 2025