Memory effects on the proliferative function in the cycle-specific of chemotherapy

A generalized mathematical model of the breast and ovarian cancer is developed by considering fractional differential equations with Caputo time-fractional derivatives. The use shows that time-evolution proliferating cell mass, quiescent proliferative function are significantly influenced their history. Even if classical model, based on derivative integer order has been studied in many papers, its analytical solutions presented to make comparison between model. Using finite difference method, numerical schemes operator Riemann-Liouville integral obtained. Numerical determined for chemotherapy scheme “on-off” type. results, obtained Mathcad software, discussed graphical illustrations. presence time-derivative as a parameter gives important information regarding function, therefore, could give possible rules more efficient chemotherapy.