Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
In this work, the controllability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems in a Banach space has been established by using the theory of fractional calculus, fixed point technique and also we introduced a new concept called (?,u) ( ? , u ) -resolvent family. As an application that illustrates the abstract results, an example is given.
controllability (? u) ( ? u) ( ? u) ( ? u) ( ? u) ( ? u ) fractional integro-differential systems u ) -resolvent family (? u ) (? u ) ( ? nonlocal and impulsive conditions fixed point theorem