Interval fractional integro-differential equations without singular kernel by fixed point in partially ordered sets

This work is devoted to the study of global solution for initial value problem of interval fractional integro-differential equations involving Caputo-Fabrizio fractional derivative without singular kernel admitting only the existence of a lower solution or an upper solution. Our method is based on fixed point in partially ordered sets. In this study, we guaranty the existence of special kind of interval H-difference that we will be faced it under weak conditions. The method is illustrated by an example