Fractal and Fractional Modelling Applied to Energy Storage

Dear Colleagues, 

This Special Issue will showcase cutting-edge research in fractional modelling for energy applications, highlighting its ability to address some of the most pressing challenges in modern energy science and engineering. Fractional calculus, which generalises differentiation and integration to non-integer orders, offers a powerful mathematical framework for capturing memory effects, hereditary behaviour, and non-local interactions—features that classical models often fail to represent adequately.

The scope of this issue spans both fundamental advances and applied studies. Contributions will include fractional approaches to anomalous heat and mass transfer, viscoelastic modelling of energy materials and geostructures, and fractional-order control methods for renewable and hybrid energy systems. In subsurface applications such as geothermal energy, fractional models provide a natural means of describing complex thermal and fluid transport processes, where long-term memory and heterogeneity play central roles.

By bringing together methodological developments, computational strategies, and case studies, this issue will demonstrate the versatility of fractional modelling as a unifying tool across diverse energy domains. The Guest Editors believe that the works presented here will not only advance theoretical understanding but also support the design of more accurate, efficient, and resilient energy technologies for a sustainable future.

Prof. Dr. Mei Yin
Prof. Dr. Guozhu Zhang
Guest Editors

Manuscript Submission Information

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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.