Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing

Abstract

This paper discusses the theme of cancer modeling and the problem of control by treatments. We model the cancer cells growth by fractional derivative equation and we stabilize their concentration by chemotherapy. The considered model will be converted into simple partial derivative equation and associated with a viability problem. We use the set-valued analysis to make viable the converted model by regulation law of regulation map. Applied chemotherapy concentration on cancer cells concentration follows the regulation law.