Time-fractional boundary optimal control of thermal stresses

Abstract

In this paper, a temperature field described by a fractional heat subconduction equation with a boundary temperature control is considered. The foundation of an optimal boundary control to take the thermal stress under constraints is purposed. Problem is formulated in terms of Caputo time-fractional derivative. The solution is found by applying Laplace and finite Fourier sine transforms. In addition, linear approximation is used to get the numerical solution. Consequently, the graphics of numerical results obtained by MATLAB are illustrated.