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A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

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  • Miguel Vivas-Cortez
  • Maasoomah Sadaf
  • Zahida Perveen
  • Ghazala Akram
  • Sharmeen Fatima

Abstract

The internal atmospheric waves are gravity waves and occur in the inner part of the fluid system. In this study, a time-fractional model for internal atmospheric waves is investigated with the Caputo-Fabrizio time-fractional differential operator. The analytical solution of the considered model is retrieved by the Elzaki Adomian decomposition method. The variation in the solution is examined for increasing order of the fractional parameter α through numerical and graphical simulations. The accuracy of the obtained results is established by comparing the obtained solution of considered fractional model with the results available in the literature.

Suggested Citation

  • Miguel Vivas-Cortez & Maasoomah Sadaf & Zahida Perveen & Ghazala Akram & Sharmeen Fatima, 2024. "A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative," PLOS ONE, Public Library of Science, vol. 19(7), pages 1-24, July.
    • Handle: RePEc:plo:pone00:0302743
    DOI: 10.1371/journal.pone.0302743
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