Applications of Fractional-Order Grey Models, 2nd Edition

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

Deadline for manuscript submissions: 15 January 2026 | Viewed by 346

Special Issue Editors


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Guest Editor
College of Management Engineering and Business, Hebei University of Engineering, Handan 056038, China
Interests: fractional models; grey system model
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E-Mail Website
Guest Editor
1. School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
2. Department of Computer Science and Artificial Intelligence, University of Granada, 18071 Granada, Spain
Interests: fractional grey models; prediction; decision analysis
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Fractional-order grey systems refers to a class of emerging theories that incorporate concepts from fractional-order calculus into the establishment of grey models. Most of the systems in real life are fractional-order, and the fractional-order grey model can essentially reflect the characteristics and behavior of objects. Compared with traditional grey models, the fractional-order grey models have stronger stability, higher flexibility and wider application prospects. They can be further divided into fractional-order accumulating grey models and fractional-order derivative grey models. The main difference is whether the modeling is implemented directly using the raw data or accumulating the raw data firstly. In addition, fractional grey models have been widely used in various fields such as agriculture, industry, society, economy, management, transportation, and energy, and relevant achievements are constantly emerging.

The focus of this Special Issue is to advance research on topics relating to the application of fractional-order grey models. The submitted papers must demonstrate sufficient novelty in the solution of practical problems by using fractional-order grey models. Topics that are invited for submission include (but are not limited to):

  • Applications of fractional-order grey models for energy consumption;
  • Fractional-order grey modelling algorithm;
  • Fractional-order grey model theory improvements;
  • Applications of fractional-order grey models for air quality;
  • Applications of fractional-order grey models for traffic flow;
  • Applications of fractional-order grey models in agriculture;
  • Applications of fractional-order grey models in settlement prediction;
  • Applications of fractional-order grey models in supply chains;
  • Applications of fractional-order grey models for natural disasters.

Prof. Dr. Lifeng Wu
Dr. Shuli Yan
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-order
  • grey model
  • prediction
  • algorithm
  • application

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Published Papers (1 paper)

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Research

16 pages, 2958 KiB  
Article
Fractional Uncertain Forecasting of the Impact of Groundwater Over-Exploitation on Temperature in the Largest Groundwater Depression Cone
by Xiangyue Ren, Liyuan Ren and Lifeng Wu
Fractal Fract. 2025, 9(5), 299; https://doi.org/10.3390/fractalfract9050299 - 5 May 2025
Viewed by 220
Abstract
China currently faces critical climatic conditions, with persistent global warming trends and extreme heat waves across the northern hemisphere. To explore the predictive trajectory of regional extreme high temperature influenced by groundwater over-exploitation, the SGMC(1,N) was established. Additionally, the SGMC(1,N) model was validated [...] Read more.
China currently faces critical climatic conditions, with persistent global warming trends and extreme heat waves across the northern hemisphere. To explore the predictive trajectory of regional extreme high temperature influenced by groundwater over-exploitation, the SGMC(1,N) was established. Additionally, the SGMC(1,N) model was validated using 2019–2023 observational data from the world’s largest groundwater depression cone. The results demonstrate superior performance, with the model achieving a MAPE of 1.97% compared to benchmark models. Scenario simulations with annual groundwater reduction rates (−15%, −20%, −25%) successfully project extreme heat evolution for 2024–2028. When the decline rate of annual groundwater over-exploitation is set at −20%, a 6.66 °C temperature reduction from baseline by 2028 is projected. Stable decline trends emerge when GOE reduction exceeds 20%. To mitigate regional extreme heat, implementing phased groundwater extraction quotas and total extraction cap regulations is recommended. Full article
(This article belongs to the Special Issue Applications of Fractional-Order Grey Models, 2nd Edition)
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