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.
Highlights
Many researchers have studied fractional evaluation equations in the last decade because of their significant applicability in various fields of modern technology and science.It has been demonstrated that time-fractional equations define certain physical processes and that their application solves different problems
A good fundamental method identified as the homotopy analysis transform technique is as an important example of the homotopy analysis method that is used by combining the Laplace transformation technique
This inventive convergence of homotopy analysis method (HAM) and Laplace transformation is used to examine a wide variety of different problems [39,40]
Summary
Zidan 2,3 , Kamsing Nonlaopon 4, * , Muhammad I. Syam 5 , Zeyad Al-Zhour 6 and Rasool Shah 7.
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