Retraction of: Scientific Reports https://doi.org/10.1038/s41598-023-48784-0, published online 11 December 2023
The Editors have retracted this Article.
After publication of this Article, some of the Authors contacted the Editors to state that they had not contributed to the study. In the resulting correspondence with the Authors, the authorship of this Article could not be verified. The Editors have therefore lost confidence in the integrity of this study.
Ilyas Khan, Arshad Riaz, Nadeem Shaukat and Muhammad Naeem Aslam disagree to this retraction. Shafiullah Niazai has not stated explicitly whether they agree to this retraction.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Aslam, M.N., Shaukat, N., Riaz, A. et al. Retraction Note: Machine learning intelligent based hydromagnetic thermal transport under Soret and Dufour effects in convergent/divergent channels: a hybrid evolutionary numerical algorithm. Sci Rep 15, 12787 (2025). https://doi.org/10.1038/s41598-025-97487-1
Published:
Version of record:
DOI: https://doi.org/10.1038/s41598-025-97487-1
