Baleanu, D.Mainardi, F.Mura, A.Scalas, E.2022-04-292025-09-182022-04-292025-09-182006Scalas, Enrico...et al. (2006). "Fractional calculus and the Schrödinger equation", IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 2, No. PART 1, pp. 234-237.97839026611281474-6670https://doi.org/10.3182/20060719-3-pt-4902.00043https://hdl.handle.net/20.500.12416/11283In this paper, a derivation of the fractional Schrödinger equation is presented for the simple case of a pure diffusive process with dissipation. The Gaussian white noise is replaced by more general kinds of white noise and both the Markovian both the Markovian (β = 1) and non-Markovian case (0 < β < 1) are considered. Copyright © 2006 IFAC.eninfo:eu-repo/semantics/openAccessDiffusion EquationFractional CalculusQuantum MechanicsSchrödinger EquationConference Object10.3182/20060719-3-pt-4902.000432-s2.0-79961115664