In present study, a generalized analysis of stresses for thermal in a functionally graded hollowsphere is explored in steady-state. The thermal and elastic parameters are presumed torandomly fluctuate along the radius of the hollow sphere with radial non-homogeneity. A“Fredholm integral equation” is used to solve the boundary value problem related to athermoelastic issue. By resolving the resulting equation (the Fredholm Integral equation), wemay numerically determine the distribution of radial displacement and thermal stresses. Theeffect of the material parameters' gradient fluctuation on stresses for thermal is examined, andthe numerical outcomes are visually displayed.