Preface -- 1 Essential of Fractional Calculus -- 2 Fractional Heat Conduction and Related Theories of Thermoelasticity -- 3 Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Polar Coordinates -- 4 Axisymmetric Problems in Cylindrical Coordinates -- 5 Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Spherical Coordinates -- 6 Thermoelasticity Based on Space-Time-Fractional Heat Conduction Equation -- 7 Thermoelasticity Based on Fractional Telegraph Equation -- 8 Fractional Thermoelasticity of Thin Shells -- 9 Fractional Advection-Diffusion Equation and Associated Diffusive Stresses.-Index.