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Regression analysis for thermal transport of fractional-order magnetohydrodynamic Maxwell fluid flow under the influence of chemical reaction using integrated machine learning approach

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  • Hassan, Waqar Ul
  • Shabbir, Khurram
  • Zeeshan, Ahmed
  • Ellahi, Rahmat

Abstract

An innovative idea of regression analysis based on machine learning technique for magnetohydrodynamic flow of Maxwell fluid within a cylinder is proposed. Mean Squared Error is used for the simulation of heat transfer and fluid flow. The governing flow equations involving a system of coupled, nonlinear fractional partial differential equations are solved by homotopic approach called HPM. The predicted solution is obtained with Python built-in code on Google-Colab. The effects of Atangana-Baleanu fractional time order derivative on the momentum, thermal, and concentration boundary layer are analyzed. It is observed that the momentum boundary layer gets higher and higher by increasing the values of Atangana-Baleanu fractional time order derivative. The thermal boundary layer shows improvement with the increasing value of the Peclet number. The concentration boundary layer thickness declines with the growing values of chemical reactions. The validation of results is examined by MSE, function fit, and correlation index.

Suggested Citation

  • Hassan, Waqar Ul & Shabbir, Khurram & Zeeshan, Ahmed & Ellahi, Rahmat, 2025. "Regression analysis for thermal transport of fractional-order magnetohydrodynamic Maxwell fluid flow under the influence of chemical reaction using integrated machine learning approach," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014796
    DOI: 10.1016/j.chaos.2024.115927
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    1. Z. S. Abo-Hammour & A. D. Samhouri & Y. Mubarak, 2014. "Continuous Genetic Algorithm as a Novel Solver for Stokes and Nonlinear Navier Stokes Problems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-18, June.
    2. Atangana, Abdon, 2016. "On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 948-956.
    3. Sharma, Kushal & Vijay, Neha & Makinde, O.D. & Bhardwaj, S.B. & Singh, Ram Mehar & Mabood, Fazle, 2021. "Boundary layer flow with forced convective heat transfer and viscous dissipation past a porous rotating disk," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    4. Khan, Kashif Ali & Seadawy, Aly R. & Raza, Nauman, 2022. "The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    5. Turkyilmazoglu, Mustafa & Altanji, Mohamed, 2023. "Fractional models of falling object with linear and quadratic frictional forces considering Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    6. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
    7. Zeeshan, Ahmad & Khalid, Nouman & Ellahi, Rahmat & Khan, M.I. & Alamri, Sultan Z., 2024. "Analysis of nonlinear complex heat transfer MHD flow of Jeffrey nanofluid over an exponentially stretching sheet via three phase artificial intelligence and Machine Learning techniques," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    8. Muhammad Imran Khan & Ahmad Zeeshan & Rahmat Ellahi & Muhammad Mubashir Bhatti, 2024. "Advanced Computational Framework to Analyze the Stability of Non-Newtonian Fluid Flow through a Wedge with Non-Linear Thermal Radiation and Chemical Reactions," Mathematics, MDPI, vol. 12(10), pages 1-24, May.
    9. Ahmad, Iftikhar & Mukhtar, Areej, 2015. "Stochastic approach for the solution of multi-pantograph differential equation arising in cell-growth model," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 360-372.
    10. Asma Ali Elbeleze & Adem Kılıçman & Bachok M. Taib, 2014. "Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    11. Asma Ali Elbeleze & Adem Kılıçman & Bachok M. Taib, 2014. "Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
    12. Jarad, Fahd & Abdeljawad, Thabet & Hammouch, Zakia, 2018. "On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 16-20.
    13. Owolabi, Kolade M. & Atangana, Abdon, 2017. "Numerical approximation of nonlinear fractional parabolic differential equations with Caputo–Fabrizio derivative in Riemann–Liouville sense," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 171-179.
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