Document Type

Article

Publication Date

2026

DOI

10.1080/00207721.2026.2632304

Publication Title

Scientific Reports

Pages

1-23

Abstract

In this study, a finite-time stability analysis with time delays and a leakage term is conducted on stochastic fractional-order memristive fuzzy BAM neural networks. FOMFBAMNNs are developed using set-valued map theories as well as differential inclusion. We obtained several significant adequate criteria of uniform stability in the mean square of such networks by using analytical methods and inequality approaches, such as Cauchy–Schwarz inequality and Burkholder–Davis–Gundy inequality. In addition to examining two different fractional-order derivatives between the U-layer and V-layer synchronously with fractional order, the existence, uniqueness, and stability of its equilibrium point are also shown ½ ≤ α ≤ 1. Lastly, two numerical examples are provided to demonstrate the effectiveness of the theoretical results.

Rights

© 2026 The Authors.

This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if you modified the licensed material. You do not have permission under this license to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

Data Availability

Article states: "All data generated or analysed during this study are included in this published article."

Original Publication Citation

Kumar, J., Ali, M. S., Sanober, S., Yar, M., Alotaibi, A. M., & Ibrahim, T. F. (2026). Stochastic fractional-order memristive fuzzy bam neural networks with time delays and leakage term for finite-time stability analysis. Scientific Reports. Advance online publication. https://doi.org/10.1038/s41598-026-48581-5

ORCID

0000-0003-2533-478X (Sanober)

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