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In this article, the problem of approximate controllability for nonlinear impulsive neutral differential systems with state-dependent delay is studied under the assumption that the corresponding linear control system is approximately controllable. Using Schauder’s fixed point theorem and fractional powers of operators with semigroup theory, sufficient conditions are formulated and proved.

Approximate Controllability of Impulsive Neutral Functional Differential Equations with State-dependent Delay via Fractional Operators