A Fractional Calculus Model for Worm Propagation in Computer Network

Abstract

Fractional Calculus emerges as a new field with wide applications in the fields of science and engineering. There is an increasing trend to find fractional calculus applications in various real-life non-linear and non-local problems, to develop new models for existing problems. Various results reported by the researchers, and many more are on the way to be discovered. Among all these problems is a computer science problem, worm propagation over various networks. This paper aims to present some short summaries of the work by distinguished researchers in modeling virus and worm propagation problems using fractional calculus. We believe this incomplete, but important, information will guide many researchers and help them to see some of the main real-world applications and gain an understanding of this powerful mathematical tool. We expect this collection will also benefit our community. Along with this a fractional SEIR model of virus propagation with the help of Caputo derivative is taken in this work. Its equilibrium point and asymptotic stability are discussed.