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

Author

Listed:
  • Meshari Alesemi
  • Naveed Iqbal
  • Ahmed A. Hamoud
  • C. Rajivganthi

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 & C. Rajivganthi, 2022. "The Analysis of Fractional-Order Proportional Delay Physical Models via a Novel Transform," Complexity, Hindawi, vol. 2022, pages 1-13, February.
    • Handle: RePEc:hin:complx:2431533
    DOI: 10.1155/2022/2431533
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    Cited by:

    1. 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).
    2. 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).
    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).
    4. Vladimir Pimenov & Andrei Lekomtsev, 2023. "Numerical Method for Solving the Nonlinear Superdiffusion Equation with Functional Delay," Mathematics, MDPI, vol. 11(18), pages 1-14, September.

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