Existence and data dependence results for neutral fractional order integro-differential equations

We assess the multi-derivative nonlinear neutral fractional order integro-differential equations with Atangana-Baleanu fractional derivative of the Riemann-Liouville sense. We discuss results about the existence and difference solution on some data, based on the Prabhakar fractional integral operator ${\epsilon }_{\delta ,\eta ,\mathcal{V};c+}^{\alpha }$ with generalized Mittag-Leffler function. The results are obtained by using Krasnoselskii's fixed point theorem and the Gronwall-Bellman inequality.