Local fractional analytical methods for solving wave equations with local fractional derivative

被引:22
|
作者
Hemeda, A. A. [1 ]
Eladdad, E. E. [1 ]
Lairje, I. A. [1 ]
机构
[1] Tanta Univ, Dept Math, Fac Sci, Tanta 31527, Egypt
关键词
local fractional integral iterative method; local fractional new iterative method; local fractional laplace equation; local fractional wave equations; VARIATIONAL ITERATION METHOD; HEAT-CONDUCTION; SPACE; DIFFUSION;
D O I
10.1002/mma.4756
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we introduce the local fractional integral iterative method and the local fractional new iterative method for solving the local fractional differential equations. Also, we perform a comparison between the results obtained by these 2 local fractional methods with the results obtained by some other local fractional methods. The obtained results illustrate the significant features of the 2 methods that are both very effective and straightforward for solving the differential equations with local fractional derivative compared with the other local fractional methods.
引用
收藏
页码:2515 / 2529
页数:15
相关论文
共 50 条
  • [1] Local Fractional Function Decomposition Method for Solving Inhomogeneous Wave Equations with Local Fractional Derivative
    Wang, Shun-Qin
    Yang, Yong-Ju
    Jassim, Hassan Kamil
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [2] Local fractional Fourier method for solving modified diffusion equations with local fractional derivative
    Yang, Yong-Ju
    Chang, Yan-Ni
    Wang, Shun-Qin
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 6153 - 6160
  • [3] Analytical approximate solutions for local fractional wave equations
    Jassim, Hassan Kamil
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (02) : 939 - 947
  • [4] Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative
    Yang, Ai-Min
    Li, Jie
    Srivastava, H. M.
    Xie, Gong-Nan
    Yang, Xiao-Jun
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [5] Applications of Yang-Fourier transform to local fractional equations with local fractional derivative and local fractional integral
    Zhong, Weiping
    Gao, Feng
    Shen, Xiaoming
    [J]. ADVANCED BUILDING MATERIALS AND STRUCTURAL ENGINEERING, 2012, 461 : 306 - +
  • [6] THE FRACTIONAL RESIDUAL METHOD FOR SOLVING THE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS
    Yang, Yong-Ju
    [J]. THERMAL SCIENCE, 2020, 24 (04): : 2535 - 2542
  • [7] Local Fractional Fourier Series Method for Solving Nonlinear Equations with Local Fractional Operators
    Yang, Yong-Ju
    Wang, Shun-Qin
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [8] Solving Time Fractional Schrodinger Equation in the Sense of Local Fractional Derivative
    Bayrak, Mine Aylin
    Demir, Ali
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2021, 16 (08):
  • [9] A DECOMPOSITION METHOD FOR SOLVING DIFFUSION EQUATIONS VIA LOCAL FRACTIONAL TIME DERIVATIVE
    Jafari, Hossein
    Tajadodi, Haleh
    Johnston, Sarah Jane
    [J]. THERMAL SCIENCE, 2015, 19 : S123 - S129
  • [10] Local fractional Sumudu decomposition method for linear partial differential equations with local fractional derivative
    Ziane, D.
    Baleanu, D.
    Belghaba, K.
    Cherif, M. Hamdi
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (01) : 83 - 88