New Perspectives and Applications of Fractional Order Modeling in Energy Systems

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

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