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Fractal Fract
Special Issues
Fractional Processes and Systems in Computer Science and Engineering
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Fractional Processes and Systems in Computer Science and Engineering

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: 30 November 2024 | Viewed by 2339

Special Issue Editors

Prof. Dr. Ming Li

E-Mail Website
Guest Editor
Ocean College, Zhejiang University, Hangzhou 310027, China
Interests: fractal time series; long-range dependent processes; self-similar processes; fractional derivative; fractional processes; fractional oscillation equation; fractional Brownian motion; fractional Gaussian noise and its applications; ships and ocean engineering; network traffic; computer science; mathematics; statistics; mechanics; systems sciences
Special Issues, Collections and Topics in MDPI journals
Dr. Junyu He

E-Mail Website
Guest Editor
Department of Marine Science, Ocean College, Zhejiang University, Zhoushan 316000, China
Interests: spatiotemporal data analysis; remote sensing; spatiotemporal geostatistics; artificial intelligence; blue carbon
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Fractional processes and systems are increasingly attracting the interest of researchers in various fields, ranging from computer science to geophysics. This Special Issue focuses on two aspects: One is the theory of fractional processes and systems. The other is the applications of fractional processes and systems in fields such as computer science, data communications, network security, solid mechanics, marine science, ecology, and so on.

The aim of this Special Issue is to develop the theory and applications of fractional processes and systems, including the application of fractional processes to computer networks and applications of fractional systems in engineering, such as fractional vibrations, fractional mechanics, applications of fractal dimensions to ecosystem research such as biodiversity identification, and so forth.

This Special Issue aims at collecting high-quality papers, including original research articles, perspectives, and reviews, covering recent advances in the areas of, but not limited to, the theory and applications of fractional processes and systems.

Prof. Dr. Ming Li
Dr. Junyu He
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractional processes
  • fractional systems
  • fractal dimensions
  • fractal time series
  • long-range dependence
  • fractal paths
  • anomalous diffusion behavior
  • stochastic processes
  • fractional Brownian motion
  • fractional derivative
  • fractional Gaussian noise
  • fractional models

Published Papers (2 papers)

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Research

24 pages, 5127 KiB  
Article
Fractional Calculus to Analyze Efficiency Behavior in a Balancing Loop in a System Dynamics Environment
by Jorge Manuel Barrios-Sánchez, Roberto Baeza-Serrato and Leonardo Martínez-Jiménez
Fractal Fract. 2024, 8(4), 212; https://doi.org/10.3390/fractalfract8040212 - 04 Apr 2024
Viewed by 718
Abstract
This research project focuses on developing a mathematical model that allows us to understand the behavior of the balancing loops in system dynamics in greater detail and precision. Currently, simulations give us an understanding of the behavior of these loops, but under the [...] Read more.
This research project focuses on developing a mathematical model that allows us to understand the behavior of the balancing loops in system dynamics in greater detail and precision. Currently, simulations give us an understanding of the behavior of these loops, but under the premise of an ideal scenario. In practice, however, accurate models often operate with varying efficiencies due to various irregularities and particularities. This discrepancy is the primary motivation behind our research proposal, which seeks to provide a more realistic understanding of the behavior of the loops, including their different levels of efficiency. To achieve this goal, we propose the introduction of fractional calculus in system dynamics models, focusing specifically on the balancing loops. This innovative approach offers a new perspective on the state of the art, offering new possibilities for understanding and optimizing complex systems. Full article
(This article belongs to the Special Issue Fractional Processes and Systems in Computer Science and Engineering)
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12 pages, 2733 KiB  
Article
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea
by Junyu He and Ming Li
Fractal Fract. 2024, 8(2), 102; https://doi.org/10.3390/fractalfract8020102 - 07 Feb 2024
Viewed by 1095
Abstract
Gaining insights into the space–time variations in the long-range dependence of sea surface chlorophyll is crucial for the early detection of environmental issues in oceans. To this end, 12 locations were selected along the Yangtze River and Pearl River estuaries, varying in distances [...] Read more.
Gaining insights into the space–time variations in the long-range dependence of sea surface chlorophyll is crucial for the early detection of environmental issues in oceans. To this end, 12 locations were selected along the Yangtze River and Pearl River estuaries, varying in distances from the Chinese coastline. Daily satellite-observed sea surface chlorophyll concentration data at these 12 locations were collected from the Copernicus Marine Service website, spanning from December 1997 to November 2023. The main objective of the current study is to introduce a multi-fractional generalized Cauchy model for calculating the values of Hurst exponents and quantitatively assessing the long-range dependence strength of sea surface chlorophyll at different spatial locations and time instants during the study period. Furthermore, ANOVA was utilized to detect the differences of calculated Hurst exponent values among the locations during various months and seasons. From a spatial perspective, the findings reveal a significantly stronger long-range dependence of sea surface chlorophyll in offshore regions compared to nearshore areas, with Hurst exponent values > 0.5 versus <0.5. It is noteworthy that the values of Hurst exponents at each location exhibit significant differences during various seasons, from a temporal perspective. Specifically, the long-range dependence of sea surface chlorophyll in summer in the nearshore region is weaker than in other seasons, whereas that in the offshore region is stronger than in other seasons. The study concludes that long-range dependence is inversely related to the distance from the coastline, and anthropogenic activity plays a dominant role in shaping the long-range dependence of sea surface chlorophyll in the coastal regions of China. Full article
(This article belongs to the Special Issue Fractional Processes and Systems in Computer Science and Engineering)
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