Einstein-Smoluchowsky equation handled bycomplex fractional moments

Risultato della ricerca: Otherpeer review

Abstract

In this paper the response of a non linear half oscillator driven by a-stable white noise in terms of probability density function (PDF) is investigated. The evolution of the PDFof such a system is ruled by the so called Einstein-Smoluchowsky equation involving, in the diffusive term, the Riesz fractional derivative. The solution is obtained by the use of complex fractional moments of the PDF, calculated with the aid of Mellintransform operator. It is shown that solution can be found for various values of stability index a and for any nonlinear function f (X; t).
Lingua originaleEnglish
Numero di pagine6
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Modelling and Simulation
  • Numerical Analysis

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