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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 99, Issue 4, Pages 559–563 (Mi mzm10793)
This article is cited in 10 papers

The Goursat Problem for the Fractional Telegraph Equation with Caputo Derivatives

R. A. Pshibikhova

Federal State Scientific Institution «Institution of Applied Mathematics and Automation», Nal'chik

Abstract: The Goursat problem for the fractional telegraph equation with Caputo derivatives is studied. An existence and uniqueness theorem for the solution of the problem is proved.

Keywords: fractional telegraph equation, Caputo derivative, Riemann–Liouville fractional integro-differential operator, Goursat problem, multi-index Mittag-Leffler function.

UDC: 517.95

Received: 17.05.2015
Revised: 03.11.2015

DOI: 10.4213/mzm10793


 English version: Mathematical Notes, 2016, 99:4, 552–555

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© Steklov Math. Inst. of RAS, 2025