title: Non-Markovian Fokker-Planck equation: solutions and first passage time distribution.
abstract: We investigate the solutions and first passage time distribution for an anomalous diffusion process governed by a generalized non-Markovian Fokker-Planck equation. In our analysis, we also consider the presence of external forces and absorbent (source) terms. In addition, we show that a rich class of diffusive processes, including normal and anomalous ones, can be obtained from the solutions found here.
authors.affiliation: International Center for Complex Systems and Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil.
authors.forename: P C
authors.initials: PC
authors.lastname: Assis
authors.forename: R P
authors.initials: RP
authors.lastname: de Souza
authors.forename: P C
authors.initials: PC
authors.lastname: da Silva
authors.forename: L R
authors.initials: LR
authors.lastname: da Silva
authors.forename: L S
authors.initials: LS
authors.lastname: Lucena
authors.forename: E K
authors.initials: EK
authors.lastname: Lenzi