A dynamic method to solve a solid tumor growth in a fractional model

Abstract

The Residual Power Series Method (RPSM) is a semi-analytical technique used to solve nonlinear fractional differential equations.The efficiency and accuracy in approximating solutions has contributed to the popularity of this method, which has gained more attention in recent years. The main objective of this study is to solve the solid tumor growth fractional mathematical model by the Residual Power Series method (RPSM). The fractional derivative is applied in the Caputo sense based on space x and time t'. The model considers oxygen as a powerful component in the solid tumor growth. The model simulation for different values of β and t' is illustrated through graphs.