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Results for a fractional diffusion equation with a nonlocal term in spherical symmetry |
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| Authors: | E.K. Lenzi M.K. Lenzi L.R. Evangelista |
| Affiliation: | a Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790 - 87020-900 Maringá, Paraná, Brazil b Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia - Jardim das Américas, Caixa Postal 19011, 81531-990 Curitiba - Paraná, Brazil c Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil |
| Abstract: | We obtain time dependent solutions for a fractional diffusion equation containing a nonlocal term by considering the spherical symmetry and using the Green function approach. The nonlocal term incorporated in the diffusion equation may also be related to the spatial and time fractional derivative and introduces different regimes of spreading of the solution with the time evolution. In addition, a rich class of anomalous diffusion processes may be described from the results obtained here. |
| Keywords: | 66.10.Cb 05.60.-k 05.40.Fb |
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