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Modified local fractional derivative and its fundaments
Yang Xiaojun * #
College of science, Chinese Mining Industry University
*Correspondence author
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Funding: none
Opened online:25 November 2008
Accepted by: none
Citation: Yang Xiaojun.Modified local fractional derivative and its fundaments[OL]. [25 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26025
 
 
Based on the concept of Jumarie’s fractional calculus, local fractional derivative is modified in detail. Its fundaments of local fractional derivative are proposed. Uniqueness of local fractional derivative is obtained and Rolle’s theorem, Cauchy’s generalized mean value theorem and L’Hospital’s rules are proved. Its fundaments of the local extreme value of function are discussed. Increasing/ decreasing test and the -derivative test are proved based on its properties.
Keywords:Rolle’s theorem;modified local fractional derivative;uniqueness of local fractional derivative;local extreme value
 
 
 

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