New Perspectives and Applications of Fractional Order Modeling in Energy Systems

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

Deadline for manuscript submissions: 30 April 2026 | Viewed by 29

Special Issue Editor


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Guest Editor
1. Facultad de Ingeniería, Departamento de Sistemas Energéticos, Universidad Nacional Autónoma de Mexico, Ciudad de Mexico 01219, Mexico
2. Área de Ingeniería en Recursos Energéticos, Universidad Autónoma Metropolitana-Iztapalapa, Ciudad de Mexico 09310, Mexico
Interests: nuclear energy; renewable energy; numerical methods; fractional calculus; dosimetry; radiation detection; solar concentrators; green roofs; passive indoor air conditioning

Special Issue Information

Dear Colleagues,

The energy sector faces unprecedented challenges in terms of sustainability, efficiency, the integration of renewable sources, and smart resource management. These challenges require new mathematical frameworks capable of capturing the memory, nonlocality, and heterogeneity effects that characterize modern energy systems. In this context, fractional order differential equations have established themselves as a powerful tool for the modeling, simulation, and control of complex energy processes. This Special Issue of Fractal and Fractional focuses on the intersection of fractional calculus and energy engineering sciences. Thematic areas covered include the following:

  • Fractional thermal modeling of energy storage devices (batteries, phase-change materials, thermoelectric systems).
  • Fractional dynamics in photovoltaic and wind systems, including generation forecasting and efficiency optimization.
  • Fractional analysis of smart grids, with applications in distributed control, stability, and energy flows.
  • Study of anomalous transport in porous/highly heterogeneous media and its application in carbon capture and storage (CCS) processes.
  • Hybrid power–heat systems, where thermal memory effects are critical to operational efficiency.
  • Numerical methods and algorithms for the fractional simulation of multiscale energy systems.

Prof. Dr. Marco Antonio Polo-Labarrios
Guest Editor

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 differential equations
  • fractional modeling
  • fractional dynamics
  • anomalous transport
  • thermal memory effects
  • multiscale energy systems
  • fractional simulation
  • numerical algorithms in fractional calculus

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Published Papers

This special issue is now open for submission.
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