Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus

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Zhang, Qi. “Some Remarks on One-Dimensional Functions and Their Riemann-Liouville Fractional Calculus”. Acta Mathematica Sinica, English Series, vol. 30, no. 3, 2013, pp. 517-24, https://doi.org/10.1007/s10114-013-2044-0.
Zhang, Q. (2013). Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus. Acta Mathematica Sinica, English Series, 30(3), 517-524. https://doi.org/10.1007/s10114-013-2044-0
Zhang, Qi. “Some Remarks on One-Dimensional Functions and Their Riemann-Liouville Fractional Calculus”. Acta Mathematica Sinica, English Series 30, no. 3 (2013): 517-24. https://doi.org/10.1007/s10114-013-2044-0.
1.
Zhang Q. Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus. Acta Mathematica Sinica, English Series. 2013;30(3):517-24.
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Refrences
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Fractional Differentiation in the Self‐Affine Case. V ‐ The Local Degree of Differentiability

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Refrences Analysis
The category Science: Mathematics 4 is the most frequently represented among the references in this article. It primarily includes studies from Applied Mathematics and Computation and Fractals. 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 ONE-DIMENSIONAL CONTINUOUS FUNCTION WITH UNBOUNDED VARIATION

Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
2024
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
Approximation with continuous functions preserving fractal dimensions of the Riemann-Liouville operators of fractional calculus Fractional Calculus and Applied Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
3 2023
Vector-valued fractal functions: Fractal dimension and fractional calculus Indagationes Mathematicae
  • Science: Mathematics
18 2023
HÖLDER CONTINUITY AND BOX DIMENSION FOR THE MIXED RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL

Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 35 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Fractal dimensions of fractional integral of continuous functions and was published in 2016. The most recent citation comes from a 2024 study titled A ONE-DIMENSIONAL CONTINUOUS FUNCTION WITH UNBOUNDED VARIATION. This article reached its peak citation in 2022, with 8 citations. It has been cited in 9 different journals, 22% of which are open access. Among related journals, the Fractals cited this research the most, with 27 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year