Solutions for a non-Markovian diffusion equation

Solutions for a non-Markovian diffusion equation

E. K. Lenzi, L. R. Evangelista, M. K. Lenzi, H. V. Ribeiro, E. C. de Oliveira,
Physics Letters A 374, 4193 (2010). PDF | DOI

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.