Y. S. Liang, The relationship between the Box dimension of the Besicovitch functions and the orders of their fractional calculus, Applied Mathematics and Computation 200 (2008), 197-207.
K. Yao, Y. S. Liang, J. X. Fang, The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function, Chaos, Solitons and Fractals 35 (2008), 106-115.
Y. S. Liang, On the fractional calculus of Besicovitch function, Chaos, Solitons and Fractals 42 (2009), 2741-2747.
Y. S. Liang, Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation, Nonlinear Analysis 72 (2010), 4304-4306.
Y. S. Liang, W. Y. Su, Von Koch curves and their fractional calculus, Acta Mathematica Sinica, Chinese Series 54 (2011), 227-240.
Q. Zhang, Y. S. Liang, The Weyl-Marchaud fractional derivative of a type of self-affine functions, Applied Mathematics and Computation 218 (2012), 8695-8701.
K. Yao, Y. S. Liang, W. Y. Su, Z. Q. Yao, Fractal dimension of fractional derivative of self-affine functions, Acta Mathematica Sinica, Chinese Series 56 (2013), 693-698.
Y. S. Liang, W. Y. Su, Riemann-Liouville fractional calculus of 1-dimensional continuous functions, Science of China Mathematics, Chinese Series 46 (2016), 423-438.
J. Wang, K. Yao, Y. S. Liang, On the connection between the order of Riemann-Liouvile fractional calculus and Hausdorff dimension of a fractal function, Analysis in Theory and Applications 2 (2016), 283-290.
Y. S. Liang, W. Y. Su, Fractal dimensions of fractional integral of continuous functions, Acta Mathematica Sinica, English Series 32 (2016), 1494-1508.
Y. S. Liang, W. Y. Su, Fractal dimension of certain continuous functions of unbounded variation, Fractals 25 (2017), Doi:10.1142/S021834817500098.
Y. S. Liang, Q. Zhang, K. Yao, Fractal dimension of fractional calculus of certain interpolation functions, Chinese Journal of Comtemporary Mathematics 38 (2017), 93-100.
Y. S. Liang, Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions, Fractional Calculus and Applied Analysis 21 (2018), 1651-1658.
Y. S. Liang, Q. Zhang, 1-Dimensional continuous functions with uncountable unbounded variation points, Chinese Journal of Comtemporary Mathematics 39 (2018) 129-136.
Y. S. Liang, Progress on estimation of fractal dimensions of fractional calculus of continuous functions, Fractals 27 (2019), Doi:10.1142/S0218348X19500841.
Y. S. Liang, N. Liu, Fractal dimensions of Weyl-Marchaud fractional derivative of certain one dimensional functions, Fractals 27 (2019), Doi:10.1142/S0218348X19501147.
Y. S. Liang, Estimation of fractal dimensions of Weyl fractional integral of certain continuous functions, Fractals 28 (2020), Doi:10.1142/S0218348X20500309.
Y. S. Liang, H. X. Wang, Upper Box dimension of Riemann-Liouville fractional integral of fractal functions, Fractals 29 (2021), Doi:10.1142/S0218348X21500158.
Y. S. Liang, Approximation with fractal functions by fractal dimension, Fractals 30 (2022), Doi:10.1142/S0218348X22501511.
Y. S. Liang, Approximation of the same Box dimension in continuous functions space, Fractals 30 (2022), Doi:10.1142/S0218348X22500396.
Y. S. Liang, Approximation by the linear interpolation functions with the same fractal dimension, The European Physical Journal Special Topics (2023), https://doi.org/10.1140/epjs/s11734-023-00866-w.
P. Z. Liu, Y. M. Du, Y. S. Liang, Fractal dimension of product of continuous functions with Box dimension, Fractals 31 (2023), Doi: 10.1142/S0218348X23500214.
S. Chandra, S. Abbas, Y. S. Liang, On the Box dimension of Weyl-Marchaud fractional derivative and linearity effect, Fractals 31 (2023), Doi: 10.1142/S0218348X23500585.
Y. S. Liang, W. Y. Su, A geometric based connection between fractional calculus and fractal functions, Acta Mathematica Sinica, English Series 39 (2023), https://kns.cnki.net/kcms/detail/11.2039.O1.20220706.1410.014.html.
B. Y. Yu, Y. S. Liang, Fractal dimension variation of continuous functions under certain operations, Fractals 31 (2023), Doi:10.1142/S0218348X23500445.