Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry |
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Authors: | Yuriy Povstenko |
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Affiliation: | 1.Institute of Mathematics and Computer Science,Jan D?ugosz University in Cz?stochowa,Cz?stochowa,Poland |
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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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