Existence and Uniqueness Results for a Computer Virus Spreading Model with Atangana-Baleanu Derivative

Abstract

A virus is programs that are often hidden inside a file that appears to be harmless and cause unexpectedand unwanted events on the computer when the file is run. Viruses, unlike others, are software designed tomaliciously damage systems. Viruses have the ability to copy themselves, jump to the files you workwith, and delete files, change the file content and make it unavailable. They can do all this without theknowledge of the user and without the need for any command. Therefore, in order to better understandingof computer virus, there are many mathematical models in the literature. In the present study, we considercomputer virus spreading model benefiting from Atangana-Baleanu derivative in Caputo sense with nonlocal and non-singular kernels. The solution properties of our fractional model are established benefitingfrom Arzelo-Ascoli theorem.