A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

In the computer security and for any defensive strategy, computer viruses are very significant aspect. To understand their expansion and extension is very important component. In order to deal with this issue, we consider a fractional epidemiological model. In this article, we analyze moderate epide...

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Vydané v:	Applied mathematics and computation Ročník 316; s. 504 - 515
Hlavní autori:	Singh, Jagdev, Kumar, Devendra, Hammouch, Zakia, Atangana, Abdon
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.01.2018
Predmet:	Caputo-Fabrizio derivative Computer viruses Epidemiological model Fixed point theorem Fractional differential equations Caputo-Fabrizio derivative Fixed point theorem Computer viruses Fractional differential equations Epidemiological model
ISSN:	0096-3003, 1873-5649
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Popis
Shrnutí:	In the computer security and for any defensive strategy, computer viruses are very significant aspect. To understand their expansion and extension is very important component. In order to deal with this issue, we consider a fractional epidemiological model. In this article, we analyze moderate epidemiological model to describe computer viruses with an arbitrary order derivative having non-singular kernel. We obtain the solution of the problem by using an iterative method. By using the fixed-point theorem the existence of the solution is discussed. The uniqueness of the solution is verified. We perform some numerical simulations and show graphically to observe the impact of the arbitrary order derivative.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2017.08.048