Geodesic
Cauchy-Type Problem for Diffusion-Wave Equation with the Riemann-Liouville Partial Derivative
Fractional calculus and applied analysis, Tome 8 (2005) no. 4, pp. 403-430 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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The paper is devoted to the study of the Cauchy-type problem for the differential equation [...] involving the Riemann-Liouville partial fractional derivative of order α > 0 [...] and the Laplace operator.
Keywords: Diffusion-Wave Equation of Fractional Order, Riemann-Liouville Partial Fractional Derivative, Cauchy-Type Problem, H-Function, Mittag-Leffler and Wright Functions, Fourier and Laplace Transforms, 35A15, 44A15, 26A33 
@article{FCAA_2005_8_4_a4,
     author = {Kilbas, Anatoly and Trujillo, Juan and Voroshilov, Aleksandr},
     title = {Cauchy-Type {Problem} for {Diffusion-Wave} {Equation} with the {Riemann-Liouville} {Partial} {Derivative}},
     journal = {Fractional calculus and applied analysis},
     pages = {403--430},
     year = {2005},
     volume = {8},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2005_8_4_a4/}
}
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Kilbas, Anatoly; Trujillo, Juan; Voroshilov, Aleksandr. Cauchy-Type Problem for Diffusion-Wave Equation with the Riemann-Liouville Partial Derivative. Fractional calculus and applied analysis, Tome 8 (2005) no. 4, pp. 403-430. http://geodesic.mathdoc.fr/item/FCAA_2005_8_4_a4/