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Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process

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  • Maike A. F. dos Santos
  • Marcelo K. Lenzi
  • Ervin K. Lenzi

Abstract

We investigate the diffusion of two different species in a semi-infinite medium considering the presence of linear reaction terms. The dynamics for these species is governed by fractional diffusion equations. We also consider the presence of an adsorption-desorption boundary condition. The solutions for this system are found in terms of the function of Fox and by analyzing the behavior of the mean square displacement a rich class of diffusion processes is verified. In this sense, we show how the surface effects modify the bulk dynamics and promote an anomalous diffusion of system.

Suggested Citation

  • Maike A. F. dos Santos & Marcelo K. Lenzi & Ervin K. Lenzi, 2017. "Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-7, July.
    • Handle: RePEc:hin:jnlamp:6361598
    DOI: 10.1155/2017/6361598
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    Cited by:

    1. dos Santos, Maike A.F., 2019. "Analytic approaches of the anomalous diffusion: A review," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 86-96.

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