Neumann boundary-value problems for a time-fractional diffusion-wave equation in a half-plane. (English) Zbl 1268.35125
Summary: The time-fractional diffusion-wave equation with the Caputo derivative of the order \(0<\alpha<2\) is considered in a half-plane. Two types of Neumann boundary condition are examined: the mathematical condition with the prescribed boundary value of the normal derivative and the physical one with the prescribed boundary value of the matter flux.
MSC:
| 35R11 | Fractional partial differential equations |
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