Singh, J. and Kumar, D. and Hammouch, Z. and Atangana, A. (2018) A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Applied Mathematics and Computation, 316. pp. 504-515.

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Abstract

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. © 2017 Elsevier Inc.

Item Type: Article Differential equations; Fixed point arithmetic; Functional analysis; Iterative methods; Security of data; Topology, Arbitrary order; Defensive strategies; Epidemiological modeling; Fixed point theorems; Fractional derivatives; Fractional differential equations; Singular kernel, Computer viruses Mathematics SCIENTIFIC PRODUCTION > Mathematics Administrateur Eprints Administrateur Eprints 31 Jan 2020 15:48 http://eprints.umi.ac.ma/id/eprint/3918