Abstract
This paper is designed to examine the problematic case of a thin slim strip being positioned in a magnetic field while it was subjected to a source of moving heat. This will be applied by considering the governing equations with a new viscous parameter and the theory of fractional order. This research used the generalized thermos viscoelasticity theory assuming thermal relaxation constructed by the Lord and Shulman (L-S) theory to deal with the problem raised in the study. A testing of the governing equations was conducted and Laplace transform was used. Manipulation has been driven in the physical domain through MATLAP Program numerical method. Some figures had been displayed to be able to compare estimates for the impact of fractional viscous parameter, speed and time of a moving heat source on temperature, stress and displacement.