Approximation of Space-Time Fractional Equations

Approximation of Space-Time Fractional Equations

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 o...

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Bibliographic Details
Main Authors: Raffaela Capitanelli, Mirko D’Ovidio
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Fractal and Fractional
Subjects:
space–time fractional equations
Dirichlet forms
asymptotics
Online Access:https://www.mdpi.com/2504-3110/5/3/71
Description
Summary: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.
ISSN:2504-3110

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