分形和分数(Fractal And Fractional)是一本由MDPI出版的一本MATHEMATICS, INTERDISCIPLINARY APPLICATIONS学术刊物,主要报道MATHEMATICS, INTERDISCIPLINARY APPLICATIONS相关领域研究成果与实践。本刊已入选来源期刊,出版周期4 issues/year。2021-2022年最新版WOS分区等级:Q1,2023年发布的影响因子为3.6,CiteScore指数4.6,SJR指数0....
Fractal and Fractional additionally offers the following two unique features: Manuscripts regarding research proposals and research ideas are particularly welcome. Electronic files containing details of calculations and experimental procedures can be deposited as supplementary material.Join the conversation about ...
Fractals are ubiquitous in nature, and prominent examples include snowflakes and neurons. Although it has long been known that intricate optical fractal patterns can be realized with components such as gratings and reflecting spheres, generating fractal
They can also be considered to be the solution to certain classes of stochastic differential equations of fractional order. Fractal geometry is a consequence of the computing revolution and its development has gone hand-in-hand with advances in digital data processing and computer graphics. However,...
The articles in this special issue will include the recent developments of fractal dimension, fractal functions, and fractal measures and their applications in several fields such as numerical analysis, fractional calculus, approximation theory, quantization theory, etc. The main target of this special ...
To evaluate the accuracy of our CUDA DBC-RGB algorithm in estimating the FD of color images, we conducted tests on two distinct datasets: (1) synthetic fractal images generated from fractional Brownian motions [37], and (2) natural texture images from Brodatz’s book [38]. Following the app...
Furthermore, the Ulam–Hyres stability is derived for the considered system by perturbing the problem with a small factor. The non-integer order model is evaluated numerically by fractional Adams–Bashforth iterative techniques and compares the results of fractional order and fractal dimension with ...
2. Fractal derivatives and Fokker-Planck equation A fundamental quantity in Haussdorff's approach to geometries with fractional dimension is the mass distribution, γ(F,a,b), where F is a fractal space, and a,b∈F. Based on the mass distribution, the staircase function is defined by(1)SF...
2025, Fractal and Fractional Nanoscale pore structure and fractal characteristics of lacustrine shale: A case study of the Upper Cretaceous Qingshankou shales, Southern Songliao Basin, China 2024, PLoS ONE Quantifying the Pore Heterogeneity of Alkaline Lake Shale during Hydrous Pyrolysis by Using the ...
s surface were investigated. Stereometric and advanced fractal analyses showed that the sample annealed at500∘Cexhibited greater surface roughness and greater skewness and kurtosis. This film also has the most isotropic surface and exhibits the highest degree of heterogeneity. Also, despite the ...