An approach for simultaneously determining the optimal trajectory and control of a cancerous model

The main attempt of this article is extension the method so that it generally would be able to consider the classical solution of the systems and moreover, produces the optimal trajectory and control directly at the same time. Therefore we consider a control system governed by a bone marrow cancer equation. Next, by extending the underlying space, the existence of the solution is considered and pair of the solution are identified simultaneously. In this manner a numerical example is also given.