We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided.
Amar Debbouche. Dumitru Baleanu. "Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System." J. Appl. Math. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/931975