Signaling Problem for Time-fractional Diffusion-wave Equation in a Half-plane
نویسنده
چکیده
The time-fractional diffusion-wave equation is considered in a half-plane. The Caputo fractional derivative of the order 0 < α < 2 is used. Several examples of problems with Dirichlet and Neumann boundary conditions are solved using the Laplace integral transform with respect to time and the Fourier transforms with respect to spatial coordinates. The solution is written in terms of the Mittag-Leffler functions. 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 illustrated graphically. Mathematics Subject Classification: 45K05, 26A33, 35J05, 35K05, 35L05
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