Effect of fractional parameter on thermoelastic half-space subjected to a moving heat source

In this study, we consider a problem for a half space subjected to a moving heat source. The problem is in the context of the fractional order thermoelasticity theory. The half-space surface is taken to be traction free. The medium is assumed to be initially quiescent. The Laplace and Exponential Fourier transform techniques are used. The solution within the transform domain is obtained by employing a direct approach. The inverse of the double transforms is obtained by employing a numerical technique. Numerical results are given and represented graphically. Some comparisons are shown in figures to estimate the effect of the fractional order parameter on all studied fields.