A new analysis of fractional-order equal-width equations via novel techniques

Muhammad Naeem, Ahmed M. Zidan, Kamsing Nonlaopon, Muhammad I. Syam, Zeyad Al-Zhour, Rasool Shah

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

In this paper, the new iterative transform method and the homotopy perturbation transform method was used to solve fractional-order Equal-Width equations with the help of Caputo-Fabrizio. This method combines the Laplace transform with the new iterative transform method and the homotopy perturbation method. The approximate results are calculated in the series form with easily computable components. The fractional Equal-Width equations play an essential role in describe hydromagnetic waves in cold plasma. Our object is to study the nonlinear behaviour of the plasma system and highlight the critical points. The techniques are very reliable, effective, and efficient, which can solve a wide range of problems arising in engineering and sciences.

Original languageEnglish
Article number886
JournalSymmetry
Volume13
Issue number5
DOIs
Publication statusPublished - May 2021

Keywords

  • Caputo–Fabrizio operator
  • Equal-Width equations
  • Homotopy perturbation method
  • Laplace transform
  • New iterative method

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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