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 alpha delta,eta,V;c+ with generalized Mittag-Leffler function. The results are obtained by using Krasnoselskii's fixed point theorem and the Gronwall-Bellman inequality.

Automated summary

This article discusses the existence and difference solution of multi-derivative nonlinear neutral fractional order integro-differential equations using specific mathematical operators and functions, and is solved using corresponding theorems and inequalities.