Abstract. In this paper, a novel technique of stochastic thermoelastic interactions by using the theory of dual phase-lag is studied. A one-dimensional (1-D) problem was discussed. Silicon material was regarded as an example of our half space ( ) problem. As the nature is changeable, the boundary conditions were chosen to be also random by combining a random function to it. So, a noise was added to the problem to make it more actual. The noise added was regarded as white noise, as it is the most common type. The random function was regarded as the Wiener process function. Laplace transform was the method used to solve the problem in (1-D) numerically. The deterministic solutions were got numerically by Laplace method. The Wiener process was considered to get the stochastic solutions simultaneously. The variance of the distributions was considered and discussed graphically. A comparison between the deterministic and stochastic solutions were done graphically.