Fluids (Jan 2023)

A Generalized Diffusion Equation: Solutions and Anomalous Diffusion

  • Ervin K. Lenzi,
  • Aloisi Somer,
  • Rafael S. Zola,
  • Luciano R. da Silva,
  • Marcelo K. Lenzi

DOI
https://doi.org/10.3390/fluids8020034
Journal volume & issue
Vol. 8, no. 2
p. 34

Abstract

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We investigate the solutions of a generalized diffusion-like equation by considering a spatial and time fractional derivative and the presence of non-local terms, which can be related to reaction or adsorption–desorption processes. We use the Green function approach to obtain solutions and evaluate the spreading of the system to show a rich class of behaviors. We also connect the results obtained with the anomalous diffusion processes.

Keywords