A New System of Global Fractional-order Interval Implicit Projection Neural Networks

TL;DR

This paper introduces a novel class of global fractional-order interval implicit projection neural networks, establishing existence, uniqueness, and stability of equilibrium points, supported by numerical examples.

Contribution

It presents a new system of neural networks with fractional-order and interval properties, proving key theoretical results and stability criteria.

Findings

Existence and uniqueness of equilibrium points established.

Mittag-Leffler stability proved for the system.

Numerical examples validate the theoretical results.

Abstract

The purpose of this paper is to introduce and investigate a new system of global fractional-order interval implicit projection neural networks. An existence and uniqueness theorem of the equilibrium point for such kind of global fractional-order interval implicit projection neural networks is obtained under some suitable assumptions. Moreover, Mittag-Leffler stability of the global fractional-order interval implicit projection neural networks is also proved. Finally, two numerical examples are given to illustrate the validity of our results.