A new computational approach to the fractional-order Liouville equation arising from mechanics of water waves and meteorological forecasts
Yazarlar (5)
Xiao-Guang Yue
Wuchang Institute Of Technology, Çin
Zeying Zhang Wuchang Institute Of Technology, Çin
Doç. Dr. Arzu Akbulut Eskişehir Osmangazi Üniversitesi, Türkiye
Mohammed K. A. Kaabar
Universiti Malaya, Malezya
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Ocean Engineering and Science (Q1)
Dergi ISSN 2468-0133 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili Türkçe Basım Tarihi 01-2022
Kabul Tarihi Yayınlanma Tarihi 01-04-2022
Cilt / Sayı / Sayfa 0 / 1 / – DOI 10.1016/j.joes.2022.04.001
Makale Linki http://dx.doi.org/10.1016/j.joes.2022.04.001
UAK Araştırma Alanları
Uygulamalı Matematik
Özet
The current analysis employs the improved F-expansion, modified extended tanh, exponential rational function, and (g′)− expansion procedures to find a divergent collection of the fractional Liouville equation’s exact solutions in the context of beta-derivative. Also, we have given the graphical representations of the obtained results. These plots are useful in describing the dynamic characteristics of the solutions. The investigated equation is very essential in studying the mechanics of water waves and atmospheric predictability. Therefore, our techniques provide a great help in investigating various nonlinear models formulated in the contexts of fractional derivatives arising from oceanography and mathematical physics.
Anahtar Kelimeler
Beta-derivative | Exact solutions | Fractional differential equations | Symbolic computation