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

Subject Areas : Applied Mathematics

Hamid Reza Sahebi ¹ , S. Ebrahimi ²

1 - Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran.
2 - Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran.

Received: 2015-09-28 Accepted : 2015-09-28 Published : 2013-12-01

Keywords:

Abstract :

The main attempt of this article is extension the method so that it generallywould be able to consider the classical solution of the systems and moreover,produces the optimal trajectory and control directly at the same time. There-fore we consider a control system governed by a bone marrow cancer equation.Next, by extending the underlying space, the existence of the solution is con-sidered and pair of the solution are identied simultaneously. In this mannera numerical example is also given.

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