This work deals with the fractional SIS epidemic model  in the case of constant population size. We provide a representation of the explicit solution to the fractional model under suitable assumptions and we validate the results by considering two numerical schemes. We examine the explicit representation and the numerical schemes for the limit case of the fractional order \alpha %DIFDELCMD < \uparrow1%%% , corresponding to the well-known ordinary SIS model, and we analyse the effects of the fractional derivatives by comparing the two models.
In this paper we consider the fractional SIS epidemic model (\alpha-SIS model) in the case of constant population size. We provide a representation of the explicit solution to the fractional model and we illustrate the results by numerical schemes. A comparison with the limit case when the fractional order \alpha %DIFDELCMD < \uparrow1%%% \uparrow 1 (the SIS model) is also given. We analyse the effects of the fractional derivatives by comparing the SIS and the \alpha-SIS models.
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