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Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions

Fractional Calculus and Applied Analysis, 2018
The present paper investigates fractal dimension of fractional integral of continuous functions whose fractal dimension is 1 on [0, 1]. For any continuous functions whose Box dimension is 1 on [0, 1], Riemann-Liouville fractional integral of these ...
Yongshun Liang
semanticscholar   +1 more source

Minkowski functional characterization and fractal analysis of surfaces of titanium nitride films

Materials Research Express, 2019
The aim of this study is to gain a deeper understanding of the micromorphology characteristics of thin titanium nitride (TiN) films sputtered on glass substrates by using ion beam sputtering (IBS).
Alireza Grayeli Korpi   +11 more
semanticscholar   +1 more source

Calculating changes in fractal dimension of surface cracks to quantify how the dynamic loading rate affects rock failure in deep mining

Journal of Central South University, 2020
M. Gao   +5 more
semanticscholar   +1 more source

Analysing roughness of surface through fractal dimension: A review

Image and Vision Computing, 2019
S. Nayak, J. Mishra, G. Palai
semanticscholar   +1 more source

Shape perception and low-dimension fractal boundary contours

Other Conferences, 1990
B. Rogowitz   +2 more
semanticscholar   +1 more source

The fourth dimension of life: fractal geometry and allometric scaling of organisms.

Science, 1999
Geoffrey B. West   +5 more
semanticscholar   +1 more source

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