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
来源：
ADVANCED RESEARCH ON COMPUTER SCIENCE AND INFORMATION ENGINEERING | 2011年 / 153卷
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
  • [1] Local Fractional Newton's Method Derived from Modified Local Fractional Calculus
    Gao, Feng
    Yang, Xiaojun
    Kang, Zongxin
    INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 228 - 232
  • [2] Fractional variational calculus for nondifferentiable functions
    Almeida, Ricardo
    Torres, Delfim F. M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (10) : 3097 - 3104
  • [3] THE LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD A Promising Technology for Fractional Calculus
    Yang, Yong-Ju
    THERMAL SCIENCE, 2020, 24 (04): : 2605 - 2614
  • [4] The Nondifferentiable Solution for Local Fractional Tricomi Equation Arising in Fractal Transonic Flow by Local Fractional Variational Iteration Method
    Yang, Ai-Min
    Zhang, Yu-Zhu
    Zhang, Xiao-Long
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [5] Local Fractional Laplace's Transform Based on the Local Fractional Calculus
    Yang, Xiaojun
    ADVANCED RESEARCH ON COMPUTER SCIENCE AND INFORMATION ENGINEERING, 2011, 153 : 391 - 397
  • [6] On calculus of local fractional derivatives
    Babakhani, A
    Daftardar-Gejji, V
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) : 66 - 79
  • [7] A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators
    Yang, Yong-Ju
    Baleanu, Dumitru
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [8] On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method
    Goswami, Pranay
    Alqahtani, Rubayyi T.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [9] Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables
    Chen, Li
    Zhao, Yang
    Jafari, Hossein
    Tenreiro Machado, J. A.
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives
    Osman, Mawia
    Marwan, Muhammad
    Shah, Syed Omar
    Loudahi, Lamia
    Samar, Mahvish
    Bittaye, Ebrima
    Mohammed Mustafa, Altyeb
    FRACTAL AND FRACTIONAL, 2023, 7 (12)
12345