Retraction notice to "Energy transmission through carreau yasuda fluid influenced by ethylene glycol with activation energy and ternary hybrid nanocomposites by using a mathematical model" [Heliyon 9 (2023) e14740]

Affiliations

¹ Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia.
² Sheikh Taimur Academic Block-II, Department of Mathematics, University of Peshawar, 25120, Khyber Pakhtunkhwa, Pakistan.
³ Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt.
⁴ Department of Mathematics, College of Science and Arts, Alasyah, Qassim University, Saudi Arabia.
⁵ Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt.
⁶ Department of Electrical Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia.
⁷ Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, 23200, Pakistan.

Aisha M Alqahtani et al. Heliyon. 2025.

. 2025 Sep 15;11(14):e43843.

doi: 10.1016/j.heliyon.2025.e43843. eCollection 2025 Sep.

¹ Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia.
² Sheikh Taimur Academic Block-II, Department of Mathematics, University of Peshawar, 25120, Khyber Pakhtunkhwa, Pakistan.
³ Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt.
⁴ Department of Mathematics, College of Science and Arts, Alasyah, Qassim University, Saudi Arabia.
⁵ Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt.
⁶ Department of Electrical Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia.
⁷ Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, 23200, Pakistan.

Abstract

[This retracts the article DOI: 10.1016/j.heliyon.2023.e14740.].

Energy transmission through carreau yasuda fluid influenced by ethylene glycol with activation energy and ternary hybrid nanocomposites by using a mathematical model.
Alqahtani AM, Bilal M, Aziz Elsebaee FA, Eldin SM, Alsenani TR, Ali A. Alqahtani AM, et al. Heliyon. 2023 Mar 23;9(4):e14740. doi: 10.1016/j.heliyon.2023.e14740. eCollection 2023 Apr. Heliyon. 2023. Retraction in: Heliyon. 2025 Sep 15;11(14):e43843. doi: 10.1016/j.heliyon.2025.e43843. PMID: 37025838 Free PMC article. Retracted.