In this paper the solution of the Fokker Planck (FPK) equation in terms of (complex) fractional moments is presented. It is shown that by using concepts coming from fractional calculus, complex Mellin transform and related ones the probability density function response of nonlinear systems may be written in discretized form in terms of complex fractional moment not requiring a closure scheme.
Alotta, G., Bucher, C., Di Matteo, A., Di Paola, M., Pirrotta, A. (2015). The moment equation closure method revisited through the use of complex fractional moments. In 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2015.
The moment equation closure method revisited through the use of complex fractional moments
ALOTTA, Gioacchino;DI MATTEO, Alberto;DI PAOLA, Mario;PIRROTTA, Antonina
2015-01-01
Abstract
In this paper the solution of the Fokker Planck (FPK) equation in terms of (complex) fractional moments is presented. It is shown that by using concepts coming from fractional calculus, complex Mellin transform and related ones the probability density function response of nonlinear systems may be written in discretized form in terms of complex fractional moment not requiring a closure scheme.
| File | Dimensione | Formato | |
|---|---|---|---|
|
The moment equation closure method revisited through the use of complex fractional moments.pdf
accesso aperto
Tipologia:
Versione Editoriale
Dimensione
2.25 MB
Formato
Adobe PDF
|
2.25 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
