Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems

Abstract

In the present work, we have established sufficient conditions for boundary controllability of nonlocal fractional neutral integrodifferential evolution systems with time-varying delays in Banach space. The outcomes are obtained by applying the fractional theory and Banach fixed point theorem. At last, we give an application for the validation of the theoretical results.

Keywords

• integrodifferential system
• banach fixed point theorem
• nonlocal condition
• boundary controllability
• time varying delays
• semigroup theory