Discussion on the approximate controllability results for neutral fractional differential systems with state‐dependent delay

Abstract This research explores the approximate controllability of a neutral fractional differential equations incorporating delay effects via almost sectorial operators. A set of sufficient conditions is established to achieve the desired results using semigroup theory associated with almost sectorial operators, Schauder's fixed‐point theorem, and fractional calculus. Then, we provide some novel conditions for the system and assume that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the main results.