Nonlinear Neutral Type Fractional Order
Differential Systems with State Delays and Distributed
Delays in the Control, and Impulsive Effects in Banach
Space is investigated for Controllability Criterion. A set
of necessary and sufficient criteria for the system to be
controllable were established. Uses were made of some
Controllability Standards and the Properties of
Controllability Grammian or mapping. The Mild
Solution of the System was established, and the Set
Functions upon our study hinged were extracted from
the Mild Solution,using Sundara like Arguments,and the
Unsymmetric Fubini’s theorem.
Keywords : Positive Definite, Non-singularity, Properness, Controllability, Orthogonality.