title: Operator solutions for fractional Fokker-Planck equations.
abstract: We obtain exact results for fractional equations of Fokker-Planck type using the evolution operator method. We employ exact forms of one-sided Lévy stable distributions to generate a set of self-reproducing solutions. Explicit cases are reported and studied for various fractional order of derivatives, different initial conditions, and for different versions of Fokker-Planck operators.
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Université Pierre et Marie Curie, CNRS UMR 7600, Paris, France. kasia_gorska@o2.pl
authors.forename: K
authors.initials: K
authors.lastname: Górska
authors.forename: K A
authors.initials: KA
authors.lastname: Penson
authors.forename: D
authors.initials: D
authors.lastname: Babusci
authors.forename: G
authors.initials: G
authors.lastname: Dattoli
authors.forename: G H E
authors.initials: GH
authors.lastname: Duchamp
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D008958:Models, Molecular; D011789:Quantum Theory