Publication Date: 2023/10/20
Abstract: 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.
DOI: https://doi.org/10.5281/zenodo.10024079
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23OCT520.pdf
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