Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses

This study demonstrates the total control of a class hybrid neutral fractional evolution equations with non-instantaneous impulses and non-local conditions. The boundary value problem conditions is created using Caputo derivative order 1<α≤2. In to create novel, strongly continuous associated operators, infinitesimal generator sine cosine families examined. Additionally, two approaches are used discuss solution’s controllability. A compact strategy based on non-linear Leray–Schauder alternative theorem one them. contrast, measure non-compactness technique implemented Sadovskii fixed point Kuratowski non-compactness. These conclusions applied simulation findings for non-homogeneous wave equation.