{"id":"doi:10.3390/fractalfract6020119","kind":"article","title":"On Variable-Order Fractional Discrete Neural Networks: Solvability and Stability","authors":["Amel Hioual","Adel Ouannas","Taki-Eddine Oussaeif","Giuseppe Grassi","Iqbal M. Batiha","Shaher Momani"],"author_count":6,"year":2022,"published":"2022-02-18","venue":"Fractal and Fractional","cited_by":67,"doi":"10.3390/fractalfract6020119","arxiv_id":null,"nct_id":null,"source_url":"https://dx.doi.org/10.3390/fractalfract6020119","archive_url":"https://space-kitty.com/papers/doi:10.3390/fractalfract6020119","updated":null,"pmid":null,"pmcid":null,"openalex_id":"W4213146444","pdf_url":"https://www.mdpi.com/2504-3110/6/2/119/pdf?version=1645435111","abstract":"Few papers have been published to date regarding the stability of neural networks described by fractional difference operators. This paper makes a contribution to the topic by presenting a variable-order fractional discrete neural network model and by proving its Ulam–Hyers stability. In particular, two novel theorems are illustrated, one regarding the existence of the solution for the proposed variable-order network and the other regarding its Ulam–Hyers stability. Finally, numerical simulations of three-dimensional and two-dimensional variable-order fractional neural networks were carried out to highlight the effectiveness of the conceived theoretical approach.","abstract_license":"CC-BY (publisher license, via OpenAlex)","license":"cc-by","is_open_access":true,"retracted":false,"peer_reviewed":null,"categories":["Neural Networks Stability and Synchronization"],"details":null,"provenance":"openalex","attribution":"Abstract of \"On Variable-Order Fractional Discrete Neural Networks: Solvability and Stability\" by Amel Hioual, Adel Ouannas, Taki-Eddine Oussaeif et al., https://doi.org/10.3390/fractalfract6020119, used under its Creative Commons Attribution license (CC-BY); markup removed, otherwise unmodified.","topics":[{"slug":"ai-mathematics","name":"AI for Mathematics & Formal Proof","domain_slug":"math-cs"}],"cited_in_dossiers":[]}