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The relationship between the Box dimension of the Besicovitch functions and the orders of their fractional calculus |
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| Authors: | Y.S. Liang W.Y. Su |
| Affiliation: | aDepartment of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210093, China bDepartment of Mathematics, Nanjing University, Nanjing 210093, China |
| Abstract: | 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. |
| Keywords: | Besicovitch functions Graph Box dimension Upper Box dimension Lower Box dimension K-dimension Fractional calculus |
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