Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes

Journal of King Saud University: Science

M.K. Lenzi¹  D.S. Vieira²  M.A.F. dos Santos³  E.K. Lenzi³  L.R. da Silva⁴ 

[1] Departamento de Engenharia Qumica, Universidade Federal do Paraná, Curitiba, PR 81531-990, Brazil;Departamento de Física, Universidade Estadual de Maringá, Maringá, PR 87020-900, Brazil;Departamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR 84030-900, Brazil;Departamento de Física, Universidade Federal do Rio Grande do Norte, Natal, RN 59072-970, Brazil;

关键词: Fractional diffusion equation;    Anomalous diffusion;    Adsorption–desorption;   

DOI  :  10.1016/j.jksus.2015.08.003

来源: DOAJ

【 摘 要 】

We investigate the solutions for a fractional diffusion equation subjected to boundary conditions which can be connected to adsorption–desorption processes. The analytical solutions were obtained using the Green function approach and showed an anomalous spreading which can be connected to an anomalous diffusion.

【 授权许可】

Unknown