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Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry

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Abstract

The paper is concerned with analysis of time-fractional diffusion-wave equation with Caputo fractional derivative in a half-space. Several examples of problems with Dirichlet and Neumann conditions at the boundary of a half-space are solved using integral transforms technique. For the first and second time-derivative terms, the obtained solutions reduce to the solutions of the ordinary diffusion and wave equations. Numerical results are presented graphically for various values of order of fractional derivative.

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

    Yuriy Povstenko

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Povstenko, Y. Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry. Nonlinear Dyn 59, 593–605 (2010). https://doi.org/10.1007/s11071-009-9566-0

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