title: Generalized Langevin equation with fractional derivative and long-time correlation function.
abstract: We investigate the motion of a particle governed by a generalized Langevin equation with fractional derivative, nonlocal dissipative force, and long-time correlation function. We derive general expressions for the variances with a linear external force. We also analyze their asymptotic behaviors for the power-law correlation function without external force.
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900 Maringá PR, Brazil.
authors.forename: Kwok Sau
authors.initials: KS
authors.lastname: Fa