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Analytical and numerical solutions of MABC fractional advection dispersion models by utilizing the modified physics informed neural networks with impacts of fractional derivative

Crossref DOI link: https://doi.org/10.1038/s41598-025-30065-7

Published Online: 2025-11-27

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Az-Zo’bi, Emad A.

Hussain, Adel S.

Iqbal, Mujahid

Aljohani, Abeer

Tashtoush, Mohammad A.

Alsubaie, Nahaa E.

Al-Hamarneh, Firas K. A.

Nazar, Nazar Mohammad

Baleanu, Dumitru
Funding

Funding for this research was provided by:

Taif University, Saudi Arabia (TU-DSPP-2025-23)
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Text and Data Mining valid from 2025-11-27

Version of Record valid from 2025-12-08
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Article History

Received: 1 October 2025

Accepted: 20 November 2025

First Online: 27 November 2025

Declarations

:

: The authors declare no competing interests.

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