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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Vydáno v:Applied mathematics and computation Ročník 316; s. 504 - 515
Hlavní autoři: Singh, Jagdev, Kumar, Devendra, Hammouch, Zakia, Atangana, Abdon
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.01.2018
Témata:
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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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