Recent Advances in Fractional-Order Equations and Their Applications in Modern Energy Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".
Deadline for manuscript submissions: 15 July 2025 | Viewed by 1291
Special Issue Editors
Interests: analysis and control of fractional-order systems; fractional-order model for power batteries; deep learning and intelligent computing
Interests: nonlinear control; fractional-order systems; prescribed performance control; fractional-order modeling of active magnetic bearings
Special Issue Information
Dear Colleagues,
Fractional-order equations have emerged as a powerful mathematical tool in recent years, offering unique insights and solutions to a wide range of problems across various fields. This Special Issue aims to explore the latest developments, methodologies, and applications of fractional-order equations, particularly in the field of modern energy systems. On account of the ability to model complex dynamical systems more accurately than conventional integer-order equations, fractional-order equations present several advantages regarding modern energy systems. For instance, fractional-order models can accurately capture the inherent intermittency and variability in renewable resources, such as solar photovoltaic arrays and wind turbines. Moreover, fractional-order models offer a more nuanced representation of electrochemical processes, diffusion phenomena, and degradation mechanisms in energy storage systems, such as batteries and supercapacitors.
The purpose of this Special Issue is to continue to provide a platform to share the insights, findings, and experiences in utilizing fractional-order equations to address the challenges and opportunities in modern energy systems. Topics that are invited for submission may include, but are not limited to, the following:
- Fractional-order control theory in modern energy systems;
- Theoretical frameworks and foundations of fractional-order equations in modern energy systems;
- Fractional-order modeling and analysis of modern energy systems;
- Fractional-order control systems and implementation of modern energy systems;
- Applications of fractional-order equations in renewable energy sources;
- Fractional-order control and optimization of energy systems;
- Fractional-order dynamics in energy storage and energy conversion systems;
- Case studies and implementations of fractional-order models in energy systems;
- Energy storage systems, supercapacitors and batteries, and hybrid energy storage.
Dr. Zhe Gao
Dr. Xiaoting Gao
Dr. Enchang Cui
Guest Editors
Manuscript Submission Information
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Keywords
- fractional-order control theory in modern energy systems
- theoretical frameworks and foundations of fractional-order equations in modern energy systems
- fractional-order modeling and analysis of modern energy systems
- fractional-order control systems and implementation of modern energy systems
- applications of fractional-order equations in renewable energy sources
- fractional-order control and optimization of energy systems
- fractional-order dynamics in energy storage and energy conversion systems
- case studies and implementations of fractional-order models in energy systems
- energy storage systems, supercapacitors and batteries, and hybrid energy storage
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