Chaotic fractional discrete neural networks based on the Caputo h-difference operator: stabilization and linear control laws for synchronization

Application of variable-order fractional calculus in neural networks: where do we stand?

“…In [18], a variable-order fractional Hopfield neural network under electromagnetic radiation has been proposed for the first time in the literature. In [19] a novel chaotic-fractional discrete neural network model has been offered.…”

“…In most of the studies presented in the current collection, shortcomings in the field, room for more study, possible future trends, and approaches for improvements in existing methods have been delineated and discussed. In addition, in review papers [19,30], the architecture of the systems, the control strategies, and the fractional derivatives used for artificial neural networks in the literature have been summarized, and several future research topics arising on artificial neural networks involved with fractional calculus have been recommended to the research community.…”

Novel Results for the Stability of h-Discrete Fractional Neural Networks with Nonsingular and Nonlocal Kernels

“…Because these fractional discrete neural networks have exact discrete relations, we may obtain numerical simulation. As an example, one of the most significant dynamics that is investigated and addressed is stability analysis [22][23] [24].…”