A Novel Approach to the Dynamics of a Fractional-Order Neural Networks with Delay Through Two-Point Self-Mapped Contraction

The paper explores the uniform stability and equilibrium characteristics of a class of neural networks of fractional order with time delay. The two-point self-mapped contraction theorem is used in order to establish sufficient conditions for the uniform stability of the system. Further, the existence, uniqueness, and uniform stability of the equilibrium point are established. A set of numerical examples is presented to proclaim the validity and usefulness of the proposed results.