Abstract
Abstract In this article, the fractional-order model of the rotavirus epidemic with the effect of breastfeeding and vaccination under the Atangana-Baleanu derivative is investigated. To show the existence and uniqueness of the model fixed point theorems of Krasnoselskii and Banach are used. The Ulam-Hyres stability is carried out for the proposed model by using the notion of non-linear functional analysis. The numerical scheme is determined for finding the approximate solution of the proposed model by using the fractional Adams-Bashforth method. Numerical simulations are provided for different fractional order to give the transmission dynamics of the rotavirus epidemic.
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