%0 Journal Article
%T Solutions to Diffusion-Wave Equation in a Body with a Spherical Cavity under Dirichlet Boundary Condition
%A Yuriy POVSTENKO
%J International Journal of Optimization and Control : Theories & Applications
%D 2011
%I International Journal of Optimization and Control
%X 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  , the Legendre transform with respect to the spatial coordinate ¦Ì, and the Weber transform of the order n+1/2 with respect to the radial coordinate r. In the central symmetric case with one spatial coordinate r the obtained resultscoincide with those studied earlier.
%K Diffusion-wave equation
%K Laplace transform
%K Fourier transform
%K Legendre transform
%K Weber transform
%K Mittag-Leffler function
%U http://ijocta.balikesir.edu.tr/index.php/files/article/view/35/10