The relationship between the Box dimension of the Besicovitch functions and the orders of their fractional calculus

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摘要

The relationship between the Box dimension of the Besicovitch functions and the orders of their fractional calculus has been investigated. On some special conditions, the linear connection between them has been proved, and the other case has also been discussed.

论文关键词:Besicovitch functions,Graph,Box dimension,Upper Box dimension,Lower Box dimension,K-dimension,Fractional calculus

论文评审过程:Available online 19 November 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.11.014