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September 10, 2025Open Access

G-Subdiffusion Equation with Fractional Caputo Time Derivative with Respect to Another Function to Describe Ultraslow Diffusion

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Authors

TKTadeusz KosztołowiczADAldona Dutkiewicz

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Overview

Findings reveal the g-subdiffusion equation effectively models ultraslow diffusion dynamics, suggesting new insights into diffusion processes.

Key Points

  • The g-subdiffusion equation describes ultraslow diffusion processes over all time domains, demonstrating flexibility in modeling.
  • Using a fractional Caputo derivative allows intricate definitions of diffusion, enhancing our understanding of molecular movement.
  • The proposed method utilizes a Laplace transform to derive Green’s functions, establishing a novel approach to studying ultraslow diffusion.
  • This modeling approach opens pathways for further investigations into how variable functions influence diffusion behaviors.

Cite This Study

Kosztołowicz et al. (2025) studied this question.

synapsesocial.com/papers/68c183f09b7b07f3a060f83chttps://doi.org/10.20944/preprints202509.0129.v1
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