Application of the fractional-order theory of micropolar thermoelasticity in the solid cylinder

A model of a two-dimensional problem in micropolar thermoelasticity for a solid cylinder has been studied, and based on Caputo fraction derivatives. The outer surface is subject to known surrounding temperatures and is traction-free. Analytical solutions in the transform domain are obtained by using new direct methods. The inverse of the double transformation can be determined numerically. Numerical results for displacements, microrotations, stresses, micro-stresses, and temperatures are determined and displayed graphically. Some comparisons have been shown in figures to estimate the effect of the fractional order on all the studied fields. The generalized principle of micropolar thermoelasticity is discussed, and its predictions are contrasted with those of the fractional-order principle.