anomalous diffusion with an irreversible linear reaction and sorption-desorption process

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ID: 144902
2017
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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 H 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.
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santos2017advancesanomalous Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Maike A. F. dos Santos;Marcelo K. Lenzi;Ervin K. Lenzi
Journal theater
Year 2017
DOI
10.1155/2017/6361598
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