ABSTRACT
Cancer is the second-leading cause of death in the world. It is due to un-controlled growth of abnormal cells. Certain forms of cancer result in a visible growth called a tumour. This chapter presents the mathematical model for tumour growth with the help of the biology behind the cell cycle. This model provides the dynamics of population of three tumour cells: quiescent cells, cells midst interphase, and mitotic cells. We proceed our study with the fractional form of this model by the use of the Caputo-Fabrizio derivative of arbitrary order possessing a non-singular kernel. The iterative perturbation technique is used to solve this tumour cell development model. The fixed-point theorem has been used to show the existence and uniqueness of the solution. Some numerical solution has been done and illustrated graphically to view the impact of fractionalisation of the model.
