A short remark on fractional variational iteration method

被引：112
|
作者：
He, Ji-Huan [1 ]
机构：
[1] Soochow Univ, Natl Engn Lab Modern Silk, Coll Text & Engn, Suzhou 215123, Peoples R China
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 38期
关键词：
Modified Riemann-Liouville derivative; Fractional complex transform; Variational iteration method; PARTIAL-DIFFERENTIAL-EQUATIONS; ASYMPTOTIC METHODS;
D O I：
10.1016/j.physleta.2011.07.033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter compares the classical variational iteration method with the fractional variational iteration method. The fractional complex transform is introduced to convert a fractional differential equation to its differential partner, so that its variational iteration algorithm can be simply constructed. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：3362 / 3364
页数：3
相关论文
共 50 条
  • [31] Application of variational iteration method to fractional initial-value problems
    Ates, Inan
    Yildirim, Ahmet
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (07) : 877 - 883
  • [32] Identification of fractional-order systems based on the variational iteration method
    Idiri, Ghania
    Djennoune, Said
    Bettayeb, Maamar
    2017 5TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING - BOUMERDES (ICEE-B), 2017,
  • [33] Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
    Dal, Fadime
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [34] Solutions of fractional differential equations by Sumudu transform and variational iteration method
    Goswami, Pranay
    Alqahtani, Rubayyi T.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1944 - 1951
  • [35] SOLUTIONS OF THE FRACTIONAL DAVEY-STEWARTSON EQUATIONS WITH VARIATIONAL ITERATION METHOD
    Jafari, Hossain
    Kadem, Abdelouahab
    Baleanu, Dumitru
    Yilmaz, Tugba
    ROMANIAN REPORTS IN PHYSICS, 2012, 64 (02) : 337 - 346
  • [36] On the variational iteration method
    Abdou, M. A.
    PHYSICS LETTERS A, 2007, 366 (1-2) : 61 - 68
  • [37] A new conformable fractional variational iteration method to singular perturbation conformable fractional Cauchy problems
    Danaei, Reza
    Jahanshahi, Mohammad
    FILOMAT, 2024, 38 (24) : 8623 - 8633
  • [38] Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables
    Chen, Li
    Zhao, Yang
    Jafari, Hossein
    Tenreiro Machado, J. A.
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [39] On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method
    Goswami, Pranay
    Alqahtani, Rubayyi T.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [40] Fractional Variational Iteration Method versus Adomian's Decomposition Method in Some Fractional Partial Differential Equations
    Song, Junqiang
    Yin, Fukang
    Cao, Xiaoqun
    Lu, Fengshun
    JOURNAL OF APPLIED MATHEMATICS, 2013,
12345