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September 10, 2025EntropyOpen Access

G-Subdiffusion Equation as an Anomalous Diffusion Equation Determined by the Time Evolution of the Mean Square Displacement of a Diffusing Molecule

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Authors

TKTadeusz KosztołowiczADAldona DutkiewiczKLKatarzyna D. Lewandowska

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Overview

Analysis shows the g-subdiffusion equation models mean square displacement in diffusion processes, suggesting new insights into complex behaviors.

Key Points

  • The g-subdiffusion equation effectively describes diffusion processes defined by specific mean square displacement functions.
  • Using Green’s function, the equation can generate the assumed mean square displacement over time.
  • The fractional Caputo derivative approach enables the characterization of both normal and anomalous diffusion patterns.
  • A method based on the Laplace transform provides a solution technique for the g-subdiffusion equation.

Cite This Study

Kosztołowicz et al. (2025) studied this question.

synapsesocial.com/papers/68c1b81f54b1d3bfb60ec7d9https://doi.org/10.3390/e27080816
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1G-Subdiffusion Equation with Fractional Caputo Time Derivative with Respect to Another Function to Describe Ultraslow Diffusion2025
  2. 2Fractional Differential Equations (FDEs) In Viscoelasticity Or Anomalous Diffusion2015
  3. 3A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation2025
  4. 4Fractional Diffusion on Graphs: Superposition of Laplacian Semigroups Incorporating Memory2026
  5. 5Gaseous diffusion as a correlated random walk2024