This book deals with characteristic analysis on thermoelastic and thermodiffusive micro-continuum solid. Various types of waves propagation and their characteristics are shown in different stages of this book. Fractional-ordered generalized heat conduction equation in micropolar thermoelasticity with two-temperatures (Conductive temperature and Thermodynamic temperature) as well as thermodiffusion are introduced. Through this analysis, a generalization of Fick"s law is being incorporated in the literature. Plane harmonic waves propagation are depicted in presence of thermoelastic diffusion. Various types of heat source response are established in differently situated micro-continuum solid. Researchers can get enormous help from this book on elasticity, thermoelasticity, micropolar thermoelasticity, Fractional-ordered micropolar thermoelasticity and wave propagation. Content of this book is willingly appreciated by many eminent researchers all over the world.