In this paper. we investigate a class of fractional hybrid differential equations with impulses. which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximation of a mild solution for the initial value problems of this system by applying Dhage it... https://www.lightemupsequences.com/hot-deal-FLNY-056H-C-p30443-big-deal/