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Solutions for a non-Markovian diffusion equation |
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| Authors: | EK Lenzi LR Evangelista HV Ribeiro |
| Institution: | a Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá, PR, Brazil b Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia, Jardim das Américas, Caixa Postal 19011, 81531-990 Curitiba, PR, Brazil c Departamento de Matemática Aplicada IMECC, Universidade de Campinas, UNICAMP, 13083-970 Campinas, SP, Brazil |
| Abstract: | Solutions for a non-Markovian diffusion equation are investigated. For this equation, we consider a spatial and time dependent diffusion coefficient and the presence of an absorbent term. The solutions exhibit an anomalous behavior which may be related to the solutions of fractional diffusion equations and anomalous diffusion. |
| Keywords: | Fractional diffusion equation Non-Markovian Anomalous diffusion |
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