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This article is cited in 10 scientific papers (total 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.
Received: 17.05.2015 Revised: 03.11.2015
Citation:
R. A. Pshibikhova, “The Goursat Problem for the Fractional Telegraph Equation with Caputo Derivatives”, Mat. Zametki, 99:4 (2016), 559–563; Math. Notes, 99:4 (2016), 552–555
Linking options:
https://www.mathnet.ru/eng/mzm10793https://doi.org/10.4213/mzm10793 https://www.mathnet.ru/eng/mzm/v99/i4/p559
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