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Non-axisymmetric solutions to time-fractional diffusion-wave equation with a source term in spherical coordinates are obtained for an infinite medium with a spherical cavity. The solutions are found using the Laplace transform with respect to time t, the finite Fourier transform with respect to the angular coordinate ϕ, the Legendre transform with respect to the spatial coordinate µ, and the Weber transform of the order n+1/2 with respect to the radial coordinate r. In the central symmetricdoi:10.11121/ijocta.01.2011.0035 fatcat:oxyfwiop2zex7fxcgbhxogqrp4