Paper Title
Fractional Numerical Simulation of Mathematical Model of Tumor Growth

Abstract
The main objective of this work is to investigate the dynamics and numerical approximations of the recommended arbitrary-order tumor growth model. In this work, we introduce a fractional mathematical model of Tumor growth and its treatment processes for a more agreeable solution by considering some possible factors in the Hahnfeldt et al. model with Caputo fractional derivative operator having the power law kernel. The existence and uniqueness of the arbitrary order system are investigated through the Lipschitz condition. We investigate the numerical solution of the non-linear arbitrary order tumor growth with fractional Euler method. For study, the impact of arbitrary order αon the behaviour of dynamics of tumor growth and the numerical simulation are presented for the distinct values of the arbitrary power α. Results indicate that fractional order model provides superior results over classical model. Keywords - Fractional Mathematical Model, Tumor Growth, Caputo Fractional Derivative Operator, Lipschitz Condition