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Mathematical analysis of Prandtl number with Artificial neural network and fractional operator for nanofluid flow

Muhammad Ramzan, Ahmad Shafique, Shajar Abbas, Rifaqat Ali, Tarik Lamoudan, Rashid Jan, Muyassar Norberdiyeva, Bakhora Turabova, Hakim AL Garalleh

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Source: Crossref

Published: Jul 1, 2025

DOI: 10.1016/j.csite.2025.106164

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Mathematical analysis of Prandtl number with Artificial neural network and fractional operator for nanofluid flow — Mathematical Frontier Network