MATH MODELING. PHYSICS

On a non-local problem for the fractional telegraph equation

R. A. Pshibikhova

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A

Abstract: In this paper we consider a nonlocal problem for a fractional telegraph equation with Caputo derivatives. A solution of the problem with an integral condition for the equation is constructed in terms of the Wright-type function. The existence and uniqueness theorem of the problem is proved.

Keywords: Nonlocal problem, Caputo derivative, fractional telegraph equation, integral condition.

UDC: 517.95

Received: 30.10.2017