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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
The Fundamentals of Local Fractional Iteration of the Continuously Nondifferentiable Functions Derived form Local Fractional Calculus
Yang Xiaojun * #
College of science, China University of Mining and Technology, Xuzhou, Jiangsu, China
*Correspondence author
#Submitted by
Subject:
Funding:
none
Opened online:24 February 2009
Accepted by:
none
Citation: Yang Xiaojun.The Fundamentals of Local Fractional Iteration of the Continuously Nondifferentiable Functions Derived form Local Fractional Calculus[OL]. [24 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29527
A new posssible modeling for local fractional iteration process is proposed. Based on fractional Taylor’s series, local fractional calculus is investigated and a newly broad definition of local fractional calculus is proposed in this paper. The fundamentals of local fractional iteration of the continuously nondifferentiable functions are derived form local fractional calculus.
Keywords:fundamentals;local fractional iteration;continuously nondifferentable function;local fractional derivative;local fractional integral