On Variable-Order Fractional Discrete Neural Networks: Existence, Uniqueness and Stability

Given the recent advances regarding studies of discrete fractional calculus, and fact that dynamics discrete-time neural networks in variable-order cases have not been sufficiently documented, herein, we consider a novel class fractional-order using nabla operator variable-order. An adequate criterion for existence solution addition to its uniqueness such systems is provided with use Banach fixed point technique. Moreover, uniform stability investigated. We provide at end two numerical simulations illustrating relevance aforementioned results.