Fractal dimensions of fractional integral of continuous functions

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Cite
Liang, Yong Shun, and Wei Yi Su. “Fractal Dimensions of Fractional Integral of Continuous Functions”. Acta Mathematica Sinica, English Series, vol. 32, no. 12, 2016, pp. 1494-08, https://doi.org/10.1007/s10114-016-6069-z.
Liang, Y. S., & Su, W. Y. (2016). Fractal dimensions of fractional integral of continuous functions. Acta Mathematica Sinica, English Series, 32(12), 1494-1508. https://doi.org/10.1007/s10114-016-6069-z
Liang, Yong Shun, and Wei Yi Su. “Fractal Dimensions of Fractional Integral of Continuous Functions”. Acta Mathematica Sinica, English Series 32, no. 12 (2016): 1494-1508. https://doi.org/10.1007/s10114-016-6069-z.
Liang YS, Su WY. Fractal dimensions of fractional integral of continuous functions. Acta Mathematica Sinica, English Series. 2016;32(12):1494-508.
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Refrences
Title Journal Journal Categories Citations Publication Date
Regularized principal component analysis Chinese Annals of Mathematics
  • Science: Mathematics
7 2017
Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions Advances in Pure Mathematics 3 2015
Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
37 2014
An approach to differential geometry of fractional order via modified Riemann-Liouville derivative Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
39 2012
Box dimensions of Riemann–Liouville fractional integrals of continuous functions of bounded variation Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
72 2010
Refrences Analysis
The category Science: Mathematics 9 is the most frequently represented among the references in this article. It primarily includes studies from Applied Mathematics and Computation and Analysis in Theory and Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
A NOTE ON FRACTAL DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL

Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
2024
A NEW ESTIMATION OF BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL CALCULUS OF CONTINUOUS FUNCTIONS

Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
2024
Box Dimension and Fractional Integrals of Multivariate $$\alpha $$-Fractal Functions Mediterranean Journal of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
3 2023
A Geometric Based Connection between Fractional Calculus and Fractal Functions Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2023
Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket Fractional Calculus and Applied Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
12 2023
Citations Analysis
The category Science: Mathematics 28 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions and was published in 2018. The most recent citation comes from a 2024 study titled A NEW ESTIMATION OF BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL CALCULUS OF CONTINUOUS FUNCTIONS. This article reached its peak citation in 2021, with 8 citations. It has been cited in 10 different journals, 20% of which are open access. Among related journals, the Fractals cited this research the most, with 16 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year