Fundamentals of Local Fractional Iteration of the Continuously Nondifferentiable Functions Derived from Local Fractional Calculus

被引:0
|
作者
Yang, Xiaojun [1 ]
Gao, Feng [2 ]
机构
[1] Shanghai EAGTOP Elect Technol Co Ltd, Tangming Rd 158, Shanghai 201611, Peoples R China
[2] China Univ Min & Technol, Coll Sci, Xuzhou, Jiangsu, Peoples R China
关键词
local fractional Taylor's series; local fractional iteration; continuously non-differentiable function; local fractional calculus; fractional space;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
A new possible modeling for the local fractional iteration process is proposed in this paper. Based on the local fractional Taylor's series, the fundamentals of local fractional iteration of the continuously non-differentiable functions are derived from local fractional calculus in fractional space.
引用
收藏
页码:398 / +
页数:2
相关论文
共 50 条
  • [21] ON THE FRACTAL HEAT TRANSFER PROBLEMS WITH LOCAL FRACTIONAL CALCULUS
    Zhao, Duan
    Yang, Xiao-Jun
    Srivastava, Hari M.
    THERMAL SCIENCE, 2015, 19 (05): : 1867 - 1871
  • [22] EINSTEIN FIELD EQUATIONS WITHIN LOCAL FRACTIONAL CALCULUS
    Golmankhaneh, Alireza K.
    Yang, Xiao-Jun
    Baleanu, D.
    ROMANIAN JOURNAL OF PHYSICS, 2015, 60 (1-2): : 22 - 31
  • [23] Non-local continuum mechanics and fractional calculus
    Lazopoulos, K. A.
    MECHANICS RESEARCH COMMUNICATIONS, 2006, 33 (06) : 753 - 757
  • [24] Fractional calculus in solid mechanics: local versus non-local approach
    Carpinteri, Alberto
    Cornetti, Pietro
    Sapora, Alberto
    Di Paola, Mario
    Zingales, Massimiliano
    PHYSICA SCRIPTA, 2009, T136
  • [25] The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
    Kiryakova, Virginia
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1128 - 1141
  • [26] THE LOCAL FRACTIONAL ITERATION SOLUTION FOR THE DIFFUSION PROBLEM IN FRACTAL MEDIA
    Hao, Ya-Juan
    Yang, Ai-Min
    THERMAL SCIENCE, 2016, 20 : S743 - S746
  • [27] THE EXTENDED VARIATIONAL ITERATION METHOD FOR LOCAL FRACTIONAL DIFFERENTIAL EQUATION
    Yang, Yong-Ju
    THERMAL SCIENCE, 2021, 25 (02): : 1509 - 1516
  • [28] 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
  • [29] Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
    Yang, Ai-Min
    Chen, Zeng-Shun
    Srivastava, H. M.
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [30] AN EXPLANATION OF LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD AND ITS APPLICATION TO LOCAL FRACTIONAL MODIFIED KORTEWEG-DE VRIES EQUATION
    Wang, Yan
    Zhang, Yu-Feng
    Liu, Zhen-Jiang
    THERMAL SCIENCE, 2018, 22 (01): : 23 - 27