Thermoelastic deformation of a finite length hollow cylinder is examined with effect of convective heat transfer boundaries on upper and lower faces beside assumed heat equation is of Caputo type with time fractional order derivative. The prescribed jump surface temperature is assumed on the upper face, while the lower face is kept at zero, also the curved surfaces are kept at zero temperature. The governing heat conduction problem is solved analytically by employing step by step finite Marchi-Fasulo, Hankel and Laplace transformation method. The obtained thermal results in terms of temperature and stresses are illustrated numerical and presented graphically by considering the material properties of pure aluminum metal.

Hollow Cylinder, Fractional order derivative, Temperature, Integral transform, Thermal stresses