A New Analysis of Fractional-Order Equal-Width Equations via Novel Techniques

Symmetry

Muhammad Naeem¹  Zeyad Al-Zhour²  MuhammadI. Syam³  Rasool Shah⁴  AhmedM. Zidan⁵  Kamsing Nonlaopon⁶ 

[1] Deanship of Joint First Year, Umm Al-Qura University, Makkah P.O. Box 517, Saudi Arabia;Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam 31441, Saudi Arabia;Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates;Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan;Department of Mathematics, College of Science, King Khalid University, Abha 9004, Saudi Arabia;Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand;

关键词: new iterative method;    homotopy perturbation method;    Caputo-Fabrizio operator;    laplace transform;    Equal-Width equations;   

DOI  :  10.3390/sym13050886

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown