The Goursat problem for the fractional telegraph equation with Caputo derivatives

DOI10.1134/S0001434616030287zbMath1351.35243OpenAlexW2403832854MaRDI QIDQ325668

R. A. Pshibihova

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616030287

zbMATH Keywords

Goursat problemCaputo derivativefractional telegraph equationmulti-index Mittag-Leffler functionRiemann-Liouville fractional integro-differential operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Partial differential equations of mathematical physics and other areas of application (35Q99) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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Ulam-Hyers-Rassias Mittag-Leffler stability for the Darboux problem for partial fractional differential equations ⋮ Solution of a multidimensional Abel integral equation of the second kind with partial fractional integrals

Cites Work

• Analog of the Goursat problem for a generalized fractional telegraph equation
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