Approximate and trajectory controllability of fractional neutral differential equation

Document Type: Original Article


Indian Institute of Technology Mandi, India


‎In this article‎, ‎we study a new class of fractional neutral differential control system with non-instantaneous impulses and state-dependent delay‎. ‎The resolvent family and Krasnoselskii's fixed point theorem are utilized to examine the approximate controllability outcomes for the proposed system‎. ‎Further‎, ‎we derive the trajectory controllability outcomes for the proposed fractional control system‎. ‎Finally‎, ‎the main results are validated with the aid of an example‎.


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