In this paper, the fractional heat equation in a sphere with hybrid
fractional derivative operator is investigated. The heat conduction is
considered in the case of central symmetry with heat absorption. The closed
form solution in the form of three parameter Mittag-Leffler function is
obtained for two Dirichlet boundary value problems. The joint finite sine
Fourier-Laplace transform is used for solving these two problems. The
dynamics of the heat transfer in the sphere is illustrated through some
numerical examples and figures.