This article is cited in 2 papers

MATHEMATICS

Goursat's task for the fractional telegraph equation with Caputo's derivatives and with the integrated

R. A. Pshibikhova

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а

Abstract: In the paper we study the Goursat problem with Caputo derivative and integral condition. For the considered problem we prove the theorem of existence and uniqueness of solution, and construct a representation of the solution.

Keywords: Goursat’s problem, Caputo derivative, fractional telegraph equation, integral condition.

UDC: 517.95

Received: 18.02.2016