Analysis of Time-Fractional Semi-Analytical Solutions of Strong Interacting Internal Waves in Rotating Ocean

被引:0
|
作者
Arshad, Muhammad Sarmad [1 ]
Mardan, Syed Ali [2 ]
Riaz, Muhammad Bilal [2 ]
Altaf, Saira [3 ]
机构
[1] Lahore Garrison Univ, Dept Math, Lahore, Pakistan
[2] Univ Management & Technol, Dept Math, Lahore, Pakistan
[3] Univ Sargodha, Dept Math, Sargodha, Pakistan
来源
关键词
Fractional Ostrovsky Equation; Fractional Gardner's Equation; Laplace Transforms; Nonlinear Fractional Differential equations; Homotopy Perturbation Transform Method; EQUATIONS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, time-fractional Gardner's Ostrovsky equation is considered which represents the shallow water wave phenomena of strong interacting internal Waves with rotational effects. Using the novel perturbation technique, we found the semi-analytical solutions of such obscure phenomena for the rotational parameters introduced in fractional time domain. The Homotopy Perturbation Method is implemented in conjunction with Laplace transformation. Caputo's time fractional derivative has been used to obtain the upcoming solutions on the basis of all previous backgrounds.
引用
收藏
页码:99 / 111
页数:13
相关论文
共 50 条
  • [41] Time-Fractional Klein-Gordon Equation with Solitary/Shock Waves Solutions
    Saifullah, Sayed
    Ali, Amir
    Irfan, Muhammad
    Shah, Kamal
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [42] Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
    Xiu-Bin Wang
    Shou-Fu Tian
    Computational and Applied Mathematics, 2018, 37 : 6270 - 6282
  • [43] Semi-analytical analysis of Allen-Cahn model with a new fractional derivative
    Deniz, Sinan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (03) : 2355 - 2363
  • [44] Fractional Analysis of Dynamical Novel COVID-19 by Semi-Analytical Technique
    Iqbal, S.
    Baleanu, D.
    Ali, Javaid
    Younas, H. M.
    Riaz, M. B.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2021, 129 (02): : 705 - 727
  • [45] Lie symmetry analysis, conservation laws and analytical solutions for a generalized time-fractional modified KdV equation
    Qin, Chun-Yan
    Tian, Shou-Fu
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (03) : 456 - 476
  • [46] Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
    Wang, Xiu-Bin
    Tian, Shou-Fu
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (05): : 6270 - 6282
  • [47] Conservation laws, analytical solutions and stability analysis for the time-fractional Schamel–Zakharov–Kuznetsov–Burgers equation
    O. H. EL-Kalaawy
    S. M. Moawad
    M. M. Tharwat
    Rasha B. Al-Denari
    Advances in Difference Equations, 2019
  • [48] Analytical and semi-analytical solutions for short-time transient response ground heat exchangers
    Bandyopadhyay, Gopal
    Gosnold, William
    Mann, Michael
    ENERGY AND BUILDINGS, 2008, 40 (10) : 1816 - 1824
  • [49] Semi-analytical minimum time solutions with velocity constraints for trajectory following of vehicles
    Frego, Marco
    Bertolazzi, Enrico
    Biral, Francesco
    Fontanelli, Daniele
    Palopoli, Luigi
    AUTOMATICA, 2017, 86 : 18 - 28
  • [50] A semi-analytical solution approach for fuzzy fractional acoustic waves equations using the Atangana Baleanu Caputo fractional operator
    Ghazouani A.E.
    Elomari M.
    Melliani S.
    Soft Computing, 2024, 28 (17-18) : 9307 - 9315