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Solutions to the fractional diffusion-wave equation in a wedge

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Abstract

The diffusion-wave equation with the Caputo derivative of the order 0 < α ≤ 2 is considered in polar coordinates in a domain 0 ≤ r < ∞, 0 < φ < φ 0 under Dirichlet and Neumann boundary conditions. The Laplace integral transform with respect to time, the finite sin- and cos-Fourier transforms with respect to the angular coordinate, and the Hankel transform with respect to the radial coordinate are used. The numerical results are illustrated graphically.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Jan Długosz University in Częstochowa, al. Armii Krajowej 13/15, 42-200, Czcestochowa, Poland

    Yuriy Povstenko

  2. Department of Computer Science, European University of Informatics and Economics (EWSIE), ul. Białostocka 22, 03-741, Warsaw, Poland

    Yuriy Povstenko

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Correspondence to Yuriy Povstenko.

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Povstenko, Y. Solutions to the fractional diffusion-wave equation in a wedge. fcaa 17, 122–135 (2014). https://doi.org/10.2478/s13540-014-0158-4

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  • DOI: https://doi.org/10.2478/s13540-014-0158-4

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