A problem of deformation of a double porous thermoelastic half space medium with fractional order heat transfer having Three-Phase-Lag (TPL) has been considered and discussed, due to the application of a thermomechanical force. A transformed procedure is taken to obtain the transformed form of result of the formulated problem. Inverse transformation of the solution is performed through a computer program for a specific model. The numerical solutions are drawn graphically for different cases. The effect of Three-Phase-Lag on Dual-Phase-Lag and the effect of fractional order and depth parameters on deformation is observed.
