In this paper we show that the use of functions associated with generalized forms of Hermite polynomials provide a natural tool for the solution of partial differential equations involving fractional derivatives. Within such a context we clarify the meaning of exponential operators with fractional derivatives and discuss alternative definitions based on integral transforms.
Fractional derivatives: Integral representations and generalized polynomials
CESARANO C;
2004-01-01
Abstract
In this paper we show that the use of functions associated with generalized forms of Hermite polynomials provide a natural tool for the solution of partial differential equations involving fractional derivatives. Within such a context we clarify the meaning of exponential operators with fractional derivatives and discuss alternative definitions based on integral transforms.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Fractional_Derivatives.pdf
non disponibili
Dimensione
108.02 kB
Formato
Adobe PDF
|
108.02 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
