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The Analysis of Fractional‐Order Proportional Delay Physical Models via a Novel Transform

Author

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  • Meshari Alesemi
  • Naveed Iqbal
  • Ahmed A. Hamoud

Abstract

In this paper, we deal with an alternative analytical analysis of fractional‐order partial differential equations with proportional delay, achieved by applying Yang decomposition method, where the fractional derivative is taken in Caputo sense. The suggested series results are discovered to quickly converge to an exact solution. The computation of three test problems of fractional‐order with proportional delay partial differential equations was presented to confirm the validity and efficiency of suggested method. The system appears to be a very dependable, effective, and powerful method for solving a variety of physical problems that arise in engineering and science.

Suggested Citation

  • Meshari Alesemi & Naveed Iqbal & Ahmed A. Hamoud, 2022. "The Analysis of Fractional‐Order Proportional Delay Physical Models via a Novel Transform," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:2431533
    DOI: 10.1155/2022/2431533
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    References listed on IDEAS

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    1. Haobin Liu & Hassan Khan & Rasool Shah & A. A. Alderremy & Shaban Aly & Dumitru Baleanu, 2020. "On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions," Complexity, Hindawi, vol. 2020, pages 1-15, July.
    2. Noufe H. Aljahdaly & Ravi P. Agarwal & Rasool Shah & Thongchai Botmart, 2021. "Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators," Mathematics, MDPI, vol. 9(18), pages 1-24, September.
    3. Zhang, Qifeng & Chen, Mengzhe & Xu, Yinghong & Xu, Dinghua, 2018. "Compact θ-method for the generalized delay diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 357-369.
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    1. Ahmed B. Khoshaim & Muhammad Naeem & Ali Akgul & Nejib Ghanmi & Shamsullah Zaland, 2022. "Novel Analysis of Fractional‐Order Fifth‐Order Korteweg–de Vries Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    2. Muhammad Naeem & Hadi Rezazadeh & Ahmed A. Khammash & Rasool Shah & Shamsullah Zaland, 2022. "Analysis of the Fuzzy Fractional‐Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo‐Fabrizio Derivative," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Rabab Alyusof & Shams Alyusof & Naveed Iqbal & Mohammad Asif Arefin, 2022. "Novel Evaluation of the Fractional Acoustic Wave Model with the Exponential‐Decay Kernel," Complexity, John Wiley & Sons, vol. 2022(1).

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