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Solution of time-fractional gas dynamics equation using Elzaki decomposition method with Caputo-Fabrizio fractional derivative

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  • Maasoomah Sadaf
  • Zahida Perveen
  • Ghazala Akram
  • Ume Habiba
  • Muhammad Abbas
  • Homan Emadifar

Abstract

In this article, Elzaki decomposition method (EDM) has been applied to approximate the analytical solution of the time-fractional gas-dynamics equation. The time-fractional derivative is used in the Caputo-Fabrizio sense. The proposed method is implemented on homogenous and non-homogenous cases of the time-fractional gas-dynamics equation. A comparison between the exact and approximate solutions is also provided to show the validity and accuracy of the technique. A graphical representation of all the retrieved solutions is shown for different values of the fractional parameter. The time development of all solutions is also represented in 2D graphs. The obtained results may help understand the physical systems governed by the gas-dynamics equation.

Suggested Citation

  • Maasoomah Sadaf & Zahida Perveen & Ghazala Akram & Ume Habiba & Muhammad Abbas & Homan Emadifar, 2024. "Solution of time-fractional gas dynamics equation using Elzaki decomposition method with Caputo-Fabrizio fractional derivative," PLOS ONE, Public Library of Science, vol. 19(5), pages 1-15, May.
    • Handle: RePEc:plo:pone00:0300436
    DOI: 10.1371/journal.pone.0300436
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    References listed on IDEAS

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    1. Jennifer Bravo & Carlos Lizama, 2022. "The Abstract Cauchy Problem with Caputo–Fabrizio Fractional Derivative," Mathematics, MDPI, vol. 10(19), pages 1-20, September.
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