Incommensurate Fractional Computer Virus System: Control and Simulation

Abstract

This study examines how fractional-order calculus can be used to model and manage the spread of computer viruses. In order to capture the intricate dynamics of virus spread, we suggest a fractional-order discrete-time model that takes into account memory effects and incommensurate fractional orders. To stabilize the system and lessen the effects of cyberattacks, a control strategy is created. The controlled system’s stability is examined, and the theoretical findings are verified through numerical simulations. Fractional-order control theory and its application to cybersecurity are advanced by this study.