Anomalous diffusion with absorption: Exact time-dependent solutions

Recently, analytical solutions of a nonlinear Fokker-Planck equation descri bing anomalous diffusion with an external linear force were found using a n onextensive thermostatistical Ansatz. We have extended these solutions to t he case when an homogeneous absorption process is also present. Some peculi ar aspects of the inter-relation between the deterministic force, the nonli near diffusion, and the absorption process are discussed.