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Journal of Environmental Accounting and Management 14(1) (2026) 1--12 | DOI:10.5890/JEAM.2026.03.001

H. M. Younas$^{1}$, Shaukat Iqbal$^{2}$, Javaid Ali$^{3}$, Muhammad Ahsan$^{4}$, El-Sayed M. El-kenawy$^{5,6,7}$

$^{1}$ Department of Mathematics, RIPHAH International University, Faisalabad, Pakistan

$^{2}$ Department of Informatics and Systems, School of Systems and Technology, University of Management and Tech nology, Lahore, 54000, Pakistan

$^{3}$ Department of Mathematics, Govt. Graduate College Township, Lahore, Pakistan

$^{4}$ Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu, China

$^{5}$ School of ICT, Faculty of Engineering, Design and Information & Communications Technology (EDICT), Bahrain Polytechnic, PO Box 33349, Isa Town, Bahrain

$^{6}$ Applied Science Research Center. Applied Science Private University, Amman, Jordan

$^{7}$ Jadara University Research Center, Jadara University, Jordan

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Abstract

The special combination of viscous and elastic behaviors of Oldroyd fluids makes them an invaluable subject for study in many scientific and engineering applications. While the Oldroyd-B (3-Constant) model is extensively employed for unidirectional steady flows, it is unsuitable for situations involving extensional flows and convergent flow channels. This paper suggests an Oldroyd fluid fractional analysis in thin-film flow, using the Oldroyd 6-Constant model for lifting and drainage scenarios. Highly nonlinear fractional differential equations are solved using fractional calculus and the Optimal Homotopy Asymptotic Method (OHAM). Residual calculations verify the validity and convergence of the solutions.

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