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
  • [41] On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operators
    Jafari, Hossein
    Jassim, Hassan Kamil
    Tchier, Fairouz
    Baleanu, Dumitru
    ENTROPY, 2016, 18 (04)
  • [42] Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations
    Fahad, Hafiz Muhammad
    Fernandez, Arran
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 409
  • [43] PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV-BURGERS-KURAMOTO EQUATION
    Wang, Kang-Le
    Wang, Kang-Jia
    He, Chun-Hui
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (07)
  • [44] On a fractal LC-electric circuit modeled by local fractional calculus
    Yang, Xiao-Jun
    Tenreiro Machado, J. A.
    Cattani, Carlo
    Gao, Feng
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 47 : 200 - 206
  • [45] Fractional Calculus of Piecewise Continuous Functions
    Ortigueira, Manuel Duarte
    FRACTAL AND FRACTIONAL, 2025, 9 (02)
  • [46] A Guide to Special Functions in Fractional Calculus
    Kiryakova, Virginia
    MATHEMATICS, 2021, 9 (01) : 1 - 40
  • [47] ON THE FRACTIONAL CALCULUS FUNCTIONS OF A FRACTAL FUNCTION
    Yao Kui Su Weiyi Zhou SongpingDept. of Math.
    Applied Mathematics:A Journal of Chinese Universities, 2002, (04) : 377 - 381
  • [48] On Weighted Fractional Calculus With Respect to Functions
    Zahra, Tazeen
    Fahad, Hafiz Muhammad
    Rehman, Mujeeb ur
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (05) : 5642 - 5659
  • [49] EXPONENTIAL FUNCTIONS OF DISCRETE FRACTIONAL CALCULUS
    Acar, Nihan
    Atici, Ferhan M.
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2013, 7 (02) : 343 - 353
  • [50] On the fractional calculus functions of a fractal function
    Yao K.
    Su W.
    Zhou S.
    Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (4) : 377 - 381