Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator.

This research investigates the existence of nonlocal impulsive fractional integrodifferential equations of order 1 < r < 2 with infinite delay. To begin with, we discuss the existence of a mild solution for the fractional derivatives by using the sectorial operators, the nonlinear alternative of the Leray-Schauder fixed point theorem, mixed Volterra-Fredholm integrodifferential types, and impulsive systems. Furthermore, we develop the optimal control results for the given system. The application of our findings is demonstrated with the help of an example. [ABSTRACT FROM AUTHOR]