Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

被引:35
|
作者
Yang, Ai-Min [1 ,2 ]
Li, Jie [1 ,3 ]
Srivastava, H. M. [4 ]
Xie, Gong-Nan [5 ]
Yang, Xiao-Jun [6 ]
机构
[1] Hebei United Univ, Coll Sci, Tangshan 063009, Peoples R China
[2] Yanshan Univ, Coll Mech Engn, Qinhuangdao 066004, Peoples R China
[3] Northeast Univ, Sch Met & Mat, Shenyang 110819, Peoples R China
[4] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[5] Northwestern Polytech Univ, Sch Mech Engn, Xian 710048, Shaanxi, Peoples R China
[6] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
LOBATTO COLLOCATION METHOD;
D O I
10.1155/2014/365981
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration method and Laplace transform. The nondifferentiable approximate solutions are obtained and their graphs are also shown.
引用
收藏
页数:8
相关论文
共 50 条
  • [31] The operator method for local fractional linear differential equations
    Unal, Emrah
    Gokdogan, Ahmet
    Cumhur, Ishak
    [J]. OPTIK, 2017, 131 : 986 - 993
  • [32] Local fractional Laplace transform iterative method for solving Korteweg-de Vries equation with the local fractional derivative
    Ojo, Gbenga O.
    Olaifa, John O.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY, 2024,
  • [33] THE LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD A Promising Technology for Fractional Calculus
    Yang, Yong-Ju
    [J]. THERMAL SCIENCE, 2020, 24 (04): : 2605 - 2614
  • [34] Solving a class of ordinary differential equations and fractional differential equations with conformable derivative by fractional Laplace transform
    Molaei, Mohammad
    Dastmalchi Saei, Farhad
    Javidi, Mohammad
    Mahmoudi, Yaghoub
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (07) : 3025 - 3044
  • [35] Variational iteration transform method for fractional differential equations
    Ziane, Djelloul
    Cherif, Mountassir Hamdi
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (01) : 185 - 199
  • [36] A new iterative method with ρ-Laplace transform for solving fractional differential equations with Caputo generalized fractional derivative
    Bhangale, Nikita
    Kachhia, Krunal B.
    Gomez-Aguilar, J. F.
    [J]. ENGINEERING WITH COMPUTERS, 2022, 38 (03) : 2125 - 2138
  • [37] Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations
    Ziane, Djelloul
    Cherif, Mountassir Hamdi
    Cattani, Carlo
    Belghaba, Kacem
    [J]. APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2019, 4 (02) : 489 - 502
  • [38] Fractional Variational Iteration Method versus Adomian's Decomposition Method in Some Fractional Partial Differential Equations
    Song, Junqiang
    Yin, Fukang
    Cao, Xiaoqun
    Lu, Fengshun
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [39] LOCAL TIME FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING LOCAL TIME FRACTIONAL TELEGRAPH EQUATIONS
    Chu, Yu-Ming
    Jneid, Maher
    Chaouk, Abir
    Inc, Mustafa
    Rezazadeh, Hadi
    Houwe, Alphonse
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (04)
  • [40] A New Approach for Solving System of Local Fractional Partial Differential Equations
    Jafari, Hossein
    Jassim, Hassan Kamil
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2016, 11 (01): : 162 - 173