Abstract
The main purpose of this study is to deal with a thermoelastic medium containing a spherical cavity within the framework of partial elastic thermal diffusion theory based on the Atangana-Baleanu operator which is characterized by the presence of a non-local single kernel. The chemical potential of the adjacent cavity is taken as a time-dependent function. The governing equations are represented and solved in the Laplace transform domain and the numerical solutions to the Laplace inversion are obtained to address the problem in the physical domain. In the physical field, the expansion of the Fourier approach is also used to obtain the numerical solutions and the stress-strain behavior of the studied medium is graphically illustrated.