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 (@a,u)-resolvent family. As an application that illustrates the abstract results, an example is given.

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