Fractal dimensions of fractional integral of continuous functions

Fractal Geometry: Mathematical Foundations and Applications.

K. J. Falconer · Biometrics · 1990 · 6K citations

Natural Sciences, Mathematics, Physics +16

THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS

F. B. Tatom · Fractals · 1995 · 245 citations

Natural Sciences, Mathematics, Physics +15

Box dimension and fractional integral of linear fractal interpolation functions

Huo-Jun Ruan, Weiyi Su, Kui Yao · Journal of Approximation Theory · 2008 · 128 citations

Natural Sciences, Mathematics, Computational Geometry +7

Box dimensions of Riemann–Liouville fractional integrals of continuous functions of bounded variation

Yongshun Liang · Nonlinear Analysis · 2010 · 106 citations

Natural Sciences, Mechanical Engineering, Compartmental Analysis +4

Fractional derivatives of Weierstrass-type functions

Martina Zähle, Herbert Ziezold · Journal of Computational and Applied Mathematics · 1996 · 71 citations

Natural Sciences, Mathematics, Derivatives +5