Abstract
An electro-magneto thermoelastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting half-space solid whose surface is subjected to a thermal shock is considered in two-dimensional space. We introduced the coupled theory (CD), Lord-Schulman (LS) theory and Green-Lindsay (GL) theory to study the influence of fractional derivative heat transfer allowing the second sound effects of magnetic field and rotation on 2-D problem of a fibre-reinforced thermoelastic. The methodology applied here is use of the normal mode analysis is used to solve the problem of a thermal shock problem. Some particular cases are also discussed in the context of the problem. Deformation of a body depends on the nature of force applied as well as the type of boundary conditions. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. Some comparisons have been shown in figures to estimate the effect of the fractional order on all the studied fields.