The thermal shock problems involved with fractional order generalized theory is
studied by an analytical method. The asymptotic solutions for thermal responses induced by
transient thermal shock are derived by means of the limit theoremof Laplace transform. An infinite
solid with a cylindrical cavity subjected to a thermal shock at its inner boundary is studied. The
propagation of thermal wave and thermal elastic wave, as well as the distributions of displacement,
temperature and stresses are obtained from these asymptotic solutions. The investigation on the
effect of fractional order parameter on the propagation of two waves is also conducted.