Maqatif, Mohammed Jamal2022-05-182022-05-185956https://drepo.sdl.edu.sa/handle/20.500.14154/3265The object in this work is to find a stabilizing boundary control for a class of nonlinear parabolic PDE system by using a transformation (transmutation operator). We transform the original system into a new one whose stability has been proved. We shall work out a few examples to illustrate the boundary control of system exhibiting blow up in finite time, thus showing the effectiveness of the method.enThesis