Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Abstract

In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.

Keywords

• controllability
• fractional order differential equations
• state-dependent delay
• banach fixed point theorem
• resolvent operators
• semigroup theory
• primary 93b05
• 34k30
• 26a33
• secondary 35r10
• 47d06.