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Fractal and Fractional, Volume 8, Issue 6

June 2024 - 62 articles

Cover Story: Alkaline lake shale exhibits multifractal characteristics and evolutionary patterns that are distinct from marine or continental shale. By using hydrous pyrolysis, nitrogen adsorption, X-ray diffraction and multifractal theory, the factors influencing pore heterogeneity and multifractal dimension and the evolution of pore characteristics during the alkaline shale maturation process are revealed. The difference in evolutionary trajectories in multifractal characteristics between marine and alkaline lake shale is also discussed based on partial least squares analysis. Specifically, alkaline lake shale is primarily influenced by quartz, potassium feldspar, clay minerals, and alkaline minerals. View this paper
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Articles (62)

  • Article
  • Open Access
7 Citations
2,117 Views
22 Pages

The utilization of time-fractional PDEs in diverse fields within science and technology has attracted significant interest from researchers. This paper presents a relatively new numerical approach aimed at solving two-term time-fractional PDE models...

  • Article
  • Open Access
5 Citations
1,528 Views
15 Pages

The present study presents a combination of two famous analytical techniques for the analytical solutions of linear and nonlinear time-fractional Emden–Fowler models. We combine the Elzaki transform (ET) and the homotopy perturbation method (HP...

  • Article
  • Open Access
2 Citations
1,914 Views
22 Pages

To accurately investigate the nonlinear dynamic characteristics of a forward converter, a fractional-order state-space averaged model of a forward converter in continuous conduction mode (CCM) is established based on the fractional calculus theory. A...

  • Article
  • Open Access
1 Citations
1,507 Views
20 Pages

Economic growth is resulting in serious environmental problems. Effectively establishing an economic growth model that considers environmental pollution is an important topic. To analyze the interplay between economic growth and environmental polluti...

  • Article
  • Open Access
21 Citations
2,487 Views
20 Pages

Fractal and Multifractal Analysis of Microscopic Pore Structure of UHPC Matrix Modified with Nano Silica

  • Dian Guan,
  • Tinghong Pan,
  • Rongxin Guo,
  • Ya Wei,
  • Rongqing Qi,
  • Chaoshu Fu,
  • Ziqi Zhang and
  • Yukai Zhu

Nano silica (NS) has been found to have a positive impact on enhancing the microporous structure of Ultra-High-Performance Concrete (UHPC). However, there is a lack of effective methods to accurately characterize the regulatory improvement mechanism...

  • Article
  • Open Access
3 Citations
2,416 Views
14 Pages

Studying the temporal characteristics of earthquake activity contributes to enhancing earthquake prediction capabilities. The seismic b-value is a key indicator describing the relationship between seismic frequency and magnitude. This study investiga...

  • Article
  • Open Access
1 Citations
1,517 Views
14 Pages

Anisotropy of Magnetohydrodynamic and Kinetic Scale Fluctuations through Correlation Tensor in Solar Wind at 0.8 au

  • Mirko Stumpo,
  • Simone Benella,
  • Pier Paolo Di Bartolomeo,
  • Luca Sorriso-Valvo and
  • Tommaso Alberti

Space plasma turbulence is inherently characterized by anisotropic fluctuations. The generalized k-th order correlation tensor of magnetic field increments allow us to separate the mixed isotropic and anisotropic structure functions from the purely a...

  • Article
  • Open Access
10 Citations
3,385 Views
41 Pages

Estimation of Fractal Dimension and Segmentation of Brain Tumor with Parallel Features Aggregation Network

  • Haseeb Sultan,
  • Nadeem Ullah,
  • Jin Seong Hong,
  • Seung Gu Kim,
  • Dong Chan Lee,
  • Seung Yong Jung and
  • Kang Ryoung Park

The accurate recognition of a brain tumor (BT) is crucial for accurate diagnosis, intervention planning, and the evaluation of post-intervention outcomes. Conventional methods of manually identifying and delineating BTs are inefficient, prone to erro...

  • Article
  • Open Access
1 Citations
1,873 Views
20 Pages

This article extends the celebrated Riemann–Hilbert (RH) method equipped with mixed spectrum to a new integrable system of three-component coupled time-varying coefficient complex mKdV equations (ccmKdVEs for short) generated by the mixed spect...

  • Article
  • Open Access
11 Citations
2,215 Views
19 Pages

The pore-throat structure is a critical factor in the study of unconventional oil and gas reservoirs, drawing particular attention from petroleum geologists, and it is of paramount significance to analyze to enhance oil and gas production. In tight s...

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Fractal Fract. - ISSN 2504-3110