Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness

In this paper, we formulate the new set of sufficient conditions for the controllability of Hilfer fractional neutral differential systems with almost sectorial operator and infinite delay. Firstly, we show the controllability of the system using the MNC and the M o ¨ nch’s fixed point theorem. Finally, we extend the results to the controllability of the system with nonlocal conditions, and some applications are provided to demonstrate how the major results might be applied.