Geodesic
The Goursat Problem for the Fractional Telegraph Equation with Caputo Derivatives
Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 559-563

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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, multi-index Mittag-Leffler function.
Mots-clés : Goursat problem 
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     author = {R. A. Pshibikhova},
     title = {The {Goursat} {Problem} for the {Fractional} {Telegraph} {Equation} with {Caputo} {Derivatives}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {99},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a7/}
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R. A. Pshibikhova. The Goursat Problem for the Fractional Telegraph Equation with Caputo Derivatives. Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 559-563. http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a7/