The present work treats with a novel generalized model of higher order derivatives heat conduction. Using Taylor series expansion, the Fourier law of heat conduction
is advanced by introducing different phase lags for the heat flux and the temperature
gradient vectors. Based on this new model, the thermoelastic behavior of a rotating hollow cylinder is analyzed analytically. The governing differential equations are solved in a numerical form using the Laplace transform technique. Numerical
calculations are displayed tables and graphs to clarify the effects of the higher order
and the rotation parameters. Finally, the results obtained are verified with those in previous literature.