Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

被引:50
|
作者
Su, Wei-Hua [1 ,2 ]
Yang, Xiao-Jun [3 ,4 ]
Jafari, H. [5 ]
Baleanu, Dumitru [6 ,7 ,8 ]
机构
[1] Tianjin Univ, Sch Mech Engn, Tianjin 300072, Peoples R China
[2] Acad Mil Med Sci, Inst Med Equipment, Tianjin 300161, Peoples R China
[3] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221008, Jiangsu, Peoples R China
[4] Zhengzhou Normal Univ, Inst Software Sci, Zhengzhou 450044, Peoples R China
[5] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
[6] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[7] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia
[8] Inst Space Sci, Magurele, Romania
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词
fractional complex transform method; wave equations; local fractional differential operators; Cantor sets; TIME;
D O I
10.1186/1687-1847-2013-97
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper points out the fractional complex transform method for wave equations on Cantor sets within the local differential fractional operators. The proposed method is efficient to handle differential equations on Cantor sets.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
    Wei-Hua Su
    Xiao-Jun Yang
    H Jafari
    Dumitru Baleanu
    Advances in Difference Equations, 2013
  • [2] Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
    Jassim, Hassan Kamil
    Unlu, Canan
    Moshokoa, Seithuti Philemon
    Khalique, Chaudry Masood
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [3] LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR DIFFUSION AND WAVE EQUATIONS ON CANTOR SETS
    Yang, Xiao-Jun
    Baleanu, Dumitru
    Khan, Yasir
    Mohyud-Din, S. T.
    ROMANIAN JOURNAL OF PHYSICS, 2014, 59 (1-2): : 36 - 48
  • [4] Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets
    Yang, Ai-Min
    Yang, Xiao-Jun
    Li, Zheng-Biao
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [5] FRACTIONAL COMPLEX TRANSFORM FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Li, Zheng-Biao
    He, Ji-Huan
    MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2010, 15 (05) : 970 - 973
  • [6] Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets
    Cao, Yuan
    Ma, Wei-Gang
    Ma, Lian-Chuan
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [7] Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators
    Baleanu, Dumitru
    Tenreiro Machado, J. A.
    Cattani, Carlo
    Baleanu, Mihaela Cristina
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [8] The operator method for local fractional linear differential equations
    Unal, Emrah
    Gokdogan, Ahmet
    Cumhur, Ishak
    OPTIK, 2017, 131 : 986 - 993
  • [9] Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative
    Yang, Yong-Ju
    Hua, Liu-Qing
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets
    Srivastava, H. M.
    Golmankhaneh, Alireza Khalili
    Baleanu, Dumitru
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2014,