TWO ANALYTICAL METHODS FOR TIME FRACTIONAL CAUDREY-DODD-GIBBON-SAWADA-KOTERA EQUATION

被引:7
作者
Chen, Bin [1 ]
Lu, Jun-Feng [1 ]
机构
[1] Zhejiang Gongshang Univ Hangzhou Coll Commerce, Hangzhou, Peoples R China
来源
THERMAL SCIENCE | 2022年 / 26卷 / 03期
关键词
time FCDGSKE; fractional complex transform; homotopy perturbation method; variational iteration method; VARIATIONAL ITERATION METHOD;
D O I
10.2298/TSCI2203535C
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper focuses on solving the time fractional Caudrey-Dodd-Gibbon-Sawa-da-Kotera equation (FCDGSKE). We propose two analytical methods based on the fractional complex transform, the variational iteration method and the ho-motopy perturbation method. problems associated with FCDGSKE are provided without linearization and complicated calculation. Numerical results show the main merits of the analytical approaches. The approximated solutions to the initial value
引用
收藏
页码:2535 / 2543
页数:9
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    He, Chun-Hui
    Liu, Chao
    He, Ji-Huan
    Gepreel, Khaled A.
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (05)
  • [12] Variational iteration method - a kind of non-linear analytical technique: Some examples
    He, JH
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) : 699 - 708
  • [13] Homotopy perturbation method for bifurcation of nonlinear problems
    He, JH
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) : 207 - 208
  • [14] A fractal modification of Chen-Lee-Liu equation and its fractal variational principle
    He, Ji-Huan
    He, Chun-Hui
    Saeed, Tareq
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (21):
  • [15] Homotopy Perturbation Method for the Fractal Toda Oscillator
    He, Ji-Huan
    El-Dib, Yusry O.
    Mady, Amal A.
    [J]. FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [16] VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES
    He, Ji-Huan
    Hou, Wei-Fan
    He, Chun-Hui
    Saeed, Tareq
    Hayat, Tasawar
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (07)
  • [17] SEEING WITH A SINGLE SCALE IS ALWAYS UNBELIEVING From magic to two-scale fractal
    He, Ji-Huan
    [J]. THERMAL SCIENCE, 2021, 25 (02): : 1217 - 1219
  • [18] On a strong minimum condition of a fractal variational principle
    He, Ji-Huan
    Qie, Na
    He, Chun-hui
    Saeed, Tareq
    [J]. APPLIED MATHEMATICS LETTERS, 2021, 119 (119)
  • [19] Homotopy perturbation method for Fangzhu oscillator
    He, Ji-Huan
    El-Dib, Yusry O.
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2020, 58 (10) : 2245 - 2253
  • [20] RETRACTED: A short review on analytical methods for the capillary oscillator in a nanoscale deformable tube (Retracted Article)
    He, Ji-Huan
    Jin, Xiao
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020,