MATHEMATICS

Dirchlet problem for a nonlocal wave equation with Riemann–Liouville derivative

O. Kh. Masaeva

Institute of Applied Mathematics and Automation, 360000, Kabardino-Balkarian Republic, Nalchik, st. Shortanova, 89a

Abstract: The existence and uniqueness of the solution to Dirichlet problem for a second-order equation with a fractional derivative is proved. The equation under study is a wave equation for a integer value of the order of the fractional derivative.

Keywords: Dirichlet problem, Riemann–Liouville fractional derivative, Caputo fractional derivative, wave equation.

UDC: 517.95

MSC: 35L05

DOI: 10.26117/2079-6641-2019-27-2-6-11

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