Fractional-Order Learning Systems: Theory, Algorithms, and Emerging Applications

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Optimization, Big Data, and AI/ML".

Deadline for manuscript submissions: closed (20 January 2025) | Viewed by 1262

Special Issue Editor


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Guest Editor
Computer Science Department, University of Roehampton, London SW15 5PH, UK
Interests: distributed estimation and control; fractional-order learning systems; optimization; machine learning; high-dimensional algebras for control and signal processing applications
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Special Issue Information

Dear Colleagues,

Ideas of calculus based on the integration and differentiation of integer orders have firmly formed the mathematical basis for modelling signals, systems, and deriving methods for signal processing, learning, and control. However, integer-order calculus is a special case of a much wider framework that can accommodate the integration and differentiation of fractional orders. In recent years, it has come to the attention of researchers that using the integration and differentiation of fractional orders results in mathematical models of physical systems that are more accurate, highlighting the need for a comprehensive understanding of the deployment of fractional-order calculus in the fields of signal processing, control, learning, and circuit design. This Special Issue delves into recent advances in the theory of fractional-order calculus and its applications in information processing techniques, including the following:

  1. advances in the theory of fractional-order calculus and its application in information processing;
  2. machine learning techniques based on fractional-order calculus;
  3. the extension of signal processing and control algorithms from integer-order to fractional-order calculus;
  4. the application of fractional-order calculus in modelling behavior, modern circuits and systems.

Dr. Sayed Pouria Talebi
Guest Editor

Manuscript Submission Information

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Keywords

  • fractional-order learning systems
  • fractional-order calculus
  • signal processing
  • information processing
  • machine learning
  • control agorithms
  • modern circuits

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Published Papers (1 paper)

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Research

24 pages, 3839 KiB  
Article
Design of a Novel Fractional Whale Optimization-Enhanced Support Vector Regression (FWOA-SVR) Model for Accurate Solar Energy Forecasting
by Abdul Wadood, Hani Albalawi, Aadel Mohammed Alatwi, Hafeez Anwar and Tariq Ali
Fractal Fract. 2025, 9(1), 35; https://doi.org/10.3390/fractalfract9010035 - 11 Jan 2025
Viewed by 862
Abstract
This study presents a novel Fractional Whale Optimization Algorithm-Enhanced Support Vector Regression (FWOA-SVR) framework for solar energy forecasting, addressing the limitations of traditional SVR in modeling complex relationships within data. The proposed framework incorporates fractional calculus in the Whale Optimization Algorithm (WOA) to [...] Read more.
This study presents a novel Fractional Whale Optimization Algorithm-Enhanced Support Vector Regression (FWOA-SVR) framework for solar energy forecasting, addressing the limitations of traditional SVR in modeling complex relationships within data. The proposed framework incorporates fractional calculus in the Whale Optimization Algorithm (WOA) to improve the balance between exploration and exploitation during hyperparameter tuning. The FWOA-SVR model is comprehensively evaluated against traditional SVR, Long Short-Term Memory (LSTM), and Backpropagation Neural Network (BPNN) models using training, validation, and testing datasets. Experimental results show that FWOA-SVR achieves superior performance with the lowest MSE values (0.036311, 0.03942, and 0.03825), RMSE values (0.19213, 0.19856, and 0.19577), and the highest R2 values (0.96392, 0.96104, and 0.96192) for training, validation, and testing, respectively. These results highlight the significant improvements of FWOA-SVR in prediction accuracy and efficiency, surpassing benchmark models in capturing complex patterns within the data. The findings highlight the effectiveness of integrating fractional optimization techniques into machine learning frameworks for advancing solar energy forecasting solutions. Full article
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