Controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay

In this paper, a sufficient condition is established for the controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay in Banach spaces. The approach used is analytic semigroups and fractional powers of closed operators and nonlinear alternative of Leray–Schauder type for multivalued maps due to D. OʹRegan.