In this present work, mathematical modeling is done for fractional thermoelastic problem of a thick circular plate occupying the space {( , , ) : 3 D = x y z  R 0 ( ) , 2 2 1/ 2 b y x  +  },hz h− where 2 2 1 2 ) ( y x r += . Plate is subjected to heat source as liner function of temperature and convective heat exchange boundaries applied at lower and upper surfaces. The equation of heat conduction involves Caputo-Fabrizio fractional derivative of order ( ). 1, 0  Finite Hankel, Marchi-Fasulo and Laplace transform method is employed to evaluate the analytical solution of the problem. The obtained expression of temperature, displacements and stresses are evaluated numerically and illustrated graphically by considering material properties of aluminum metal.