Recent Advances in Fractional-Order Equations and Their Applications in Modern Energy Systems

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

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.

• 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