Fractional-Order Dynamics and Control in Green Energy Systems

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

Deadline for manuscript submissions: 18 April 2025 | Viewed by 345

Special Issue Editors

E-Mail Website1 Website2
Guest Editor
1. Department of Civil and Environmental Engineering, University of California, Berkeley, CA 94720, USA
2. Department of Electrical Engineering, Tezpur University, Assam 784028, India
Interests: fractional calculus; energy storage; electric transportation; control systems; nonlinear dynamics; maglev

E-Mail Website
Guest Editor
Department of Physics, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece
Interests: electrical and electronics engineering; mathematical modeling; control theory; engineering, applied and computational mathematics; numerical analysis; mathematical analysis; numerical modeling; modeling and simulation; robotics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Fractional calculus has seen a rapid rise in recent applications in science and technology with improved results. The articles in this Special Issue will include the recent developments and applications of fractional calculus in green and sustainable technology to understand their inherent dynamics. Fractional-order dynamics offer several advantages over integer-order dynamics in the context of green energy systems:

  1. Enhanced accuracy: fractional-order models can capture the intricate dynamics and memory effects observed in green energy systems more effectively than integer-order models.
  2. Improved robustness: fractional-order control schemes are inherently robust to disturbances, uncertainties, and system parameter variations, which are common challenges in green energy systems.
  3. Increased flexibility: fractional-order controllers provide greater flexibility in shaping the closed-loop system response, enabling improved transient and steady-state performance.
  4. Efficient energy management: fractional-order control techniques facilitate efficient energy management, load balancing, and optimal utilization of renewable energy resources in green energy systems.

Recently, fractional-order dynamics and control have found applications in various aspects of green energy systems, including:

  1. Renewable energy generation: fractional-order control algorithms are used to enhance the performance of renewable energy sources such as solar panels, wind turbines, and hydroelectric systems; they enable better tracking of maximum power points, improved fault tolerance, and optimized energy conversion.
  2. Energy storage systems: fractional-order control can be employed in energy storage systems, such as batteries and supercapacitors, to improve their charging and discharging characteristics, extend their lifespan, and ensure efficient utilization of stored energy.
  3. Grid integration: fractional-order control techniques aid in integrating green energy systems with the electrical grid; they assist in power flow control, voltage regulation, and stability enhancement, enabling seamless integration and effective management of distributed energy resources.
  4. Demand response and energy management: fractional-order control plays a crucial role in demand response programs and energy management systems, facilitating optimal energy consumption scheduling, load forecasting, and power grid stabilization.

The purpose of this Special Issue is to offer a forum focused on the dissemination of the recent progress in fractional calculus and its potential applications in green energy systems. Topics may include, but are not limited to:

  1. Energy storage systems, supercapacitors and batteries, and hybrid energy storage;
  2. Energy efficient robots and manipulators;
  3. Fuel cells and renewable energy applications;
  4. Energy efficient biomedical devices and biological systems;
  5. Modes of green transportation, drones, electric vehicles, autonomous vehicles, and maglev vehicles;
  6. Physics-informed learning machines;
  7. Chaos control, nonlinear dynamics, and secure communication.

Dr. Manashita Borah
Dr. Christos Volos
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at 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 chaos
  • energy storage systems
  • dynamics
  • control systems
  • energy storage systems
  • biological systems
  • renewable energy applications
  • energy-efficient robots
  • green transportation

Published Papers

This special issue is now open for submission, see below for planned papers.

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Dr. Arman Fathollahi and Dr. Björn Andresen
Title: Decentralized Model-Independent Fractional-Order Excitation Controllers for Improved Transient Stability and Voltage Regulation in Large-Scale Power Systems
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