FRACTIONAL ANALYSIS OF TIME-FRACTIONAL EMDEN–FOWLER PROBLEM IN THE FLUID FLOW THROUGH A POROUS MEDIUM

Muhammad Nadeem, Yabin Shao, M. Riaz Khan, P. A. Azeem Hafiz and Ebraheem Alzahrani
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Muhammad Nadeem: School of Mathematics and Economics & Key Laboratory of Analytical Mathematics and Intelligent Computing for Yunnan Provincial Department of Education, Qujing Normal University, Qujing 655011, P. R. China
Yabin Shao: ��Research Institute of Microscale Optoelectronics, School of Jia Yang, Zhejiang Shuren University, Shaoxing, P. R. China
M. Riaz Khan: ��Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan
P. A. Azeem Hafiz: �Department of Industrial Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
Ebraheem Alzahrani: �Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 09, 1-13

Abstract: The aim of this research is to analyze the fractional behavior of Emden–Fowler problems, which are used to model fluid motion in the porous medium and the fluid motion exhibits the behavior of fractional order due to the complex microstructure. By applying the Sawi transform, the fractional order model is transformed into Sawi space, whereas the homotopy perturbation scheme efficiently manages the nonlinear terms. This study focuses on the Caputo operator form of fractional derivatives. The minimal computational outcomes present a convergent series solution, which is a distinctive feature of our technique. Two numerical problems are provided to confirm the validity and dependability of the present scheme. Graphical results at varying fractional orders confirm the reliability of the suggested approach. The findings indicate that our suggested technique is quick and easy to implement on fractionally ordered structures.

Keywords: Sawi Transform; Fractional Emden–Fowler Problem; Homotopy Perturbation Scheme; Fractional Analysis (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500744

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