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
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