The aim of this paper is to provide approximation results for space-time non-local equations with general non-local (and fractional) operators in space and time. We consider a general Markov process time changed with general subordinators or inverses to general subordinators. Our analysis is based on Bernstein symbols and Dirichlet forms, where the symbols characterize the time changes, and the Dirichlet forms characterize the Markov processes.
Approximation of space-time fractional equations / Capitanelli, R.; D'Ovidio, M.. - In: FRACTAL AND FRACTIONAL. - ISSN 2504-3110. - 5:3(2021). [10.3390/fractalfract5030071]
Approximation of space-time fractional equations
Capitanelli R.
;D'ovidio M.
2021
Abstract
The aim of this paper is to provide approximation results for space-time non-local equations with general non-local (and fractional) operators in space and time. We consider a general Markov process time changed with general subordinators or inverses to general subordinators. Our analysis is based on Bernstein symbols and Dirichlet forms, where the symbols characterize the time changes, and the Dirichlet forms characterize the Markov processes.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Capitanelli_approximation_2021.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Creative commons
Dimensione
323.82 kB
Formato
Adobe PDF
|
323.82 kB | Adobe PDF | Visualizza/Apri PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
