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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018 Number 3(23), Pages 91–97 (Mi vkam259)

FRACTIONAL CALCULUS AND ITS APPLICATION

Darboux problem for fractional telegraph equation

R. A. Pshibikhova

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, Russia

Abstract: In this paper we prove a theorem of existence and uniqueness of solutions of the Darboux problem for the generalized telegraph equation of fractional order with Riemann-Liouville derivatives.

Keywords: Darboux problem, fractional telegraph equation, fractional derivative,  Riemann-Liouville operator.

UDC: 517.91

MSC: 35R11

Received: 08.06.2018

DOI: 10.18454/2079-6641-2018-23-3-91-97



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