Time-fractional heat conduction law in a magneto-thermoelastic solid with hydrostatic initial stress

In this paper, the theory of fractional order two-temperature generalized thermoelasticity is used to study the propagation of magneto-thermoelastic disturbances in a homogeneous isotropic perfectly conducting half-space medium due hydrostatic initial stress. Normal mode analysis technique and the method of displacement potentials are used to obtain the analytical solutions of the studied field varables. Arbitrary application is chosen to enable us to get the complete solution. The effect of fractional parameter and hydrostatic initial stress on the variations of the studied field quantities has been investigated graphically.