Fractional-Order Modeling and Analysis of Nanoparticle Transport in Magnetohydrodynamic Blood Flow Through a Stenosed Artery

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Vol 3 No 1 (2026): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Page Numbers: 202-218
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Published: Mar 25, 2026
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Authors:
Isah Abdullahi1*, Ali Musa2
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Isah Abdullahi
Abubakar Tafawa Balewa University, Bauchi, Nigeria
Ali Musa
Yobe State University Damaturu, Nigeria

Abstract

This study presents an extended fractional-order mathematical model for blood flow through a stenosed artery under the combined effects of a magnetic field, porous medium, chemical reaction, and nanoparticle diffusion. The study aims to provide a more accurate and physiologically relevant representation of nanoparticle transport in pathological arterial flow conditions. The governing nonlinear equations for momentum and mass transfer were formulated and solved using a semi-analytical approach involving modified Bessel and Mittag–Leffler functions. Model validation through comparison with existing results showed excellent agreement, confirming the reliability of the proposed formulation. The parametric analysis revealed that increasing the chemical reaction parameter and Schmidt number reduced nanoparticle concentration, whereas a higher fractional order enhanced mass transport by weakening memory effects. The study concludes that the fractional-order framework offers an improved description of nanoparticle transport in stenosed arterial blood flow and contributes to the advancement of mathematical modeling for physiologically realistic hemodynamic analysis.

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Article Details

How to Cite
Abdullahi, I., & Musa, A. (2026). Fractional-Order Modeling and Analysis of Nanoparticle Transport in Magnetohydrodynamic Blood Flow Through a Stenosed Artery. African Multidisciplinary Journal of Sciences and Artificial Intelligence, 3(1), 202-218. https://doi.org/10.58578/amjsai.v3i1.9189

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Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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