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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| Format: | Article |
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MDPI AG
2021-07-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/5/3/71 |
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doaj-11d4e7627fbd4ac589ac20592c63c2482021-09-26T00:11:11ZengMDPI AGFractal and Fractional2504-31102021-07-015717110.3390/fractalfract5030071Approximation of Space-Time Fractional EquationsRaffaela Capitanelli0Mirko D’Ovidio1Department of Basic and Applied Sciences for Engineering, Sapienza University of Rome, via A. Scarpa 10, 00161 Rome, ItalyDepartment of Basic and Applied Sciences for Engineering, Sapienza University of Rome, via A. Scarpa 10, 00161 Rome, ItalyThe 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.https://www.mdpi.com/2504-3110/5/3/71space–time fractional equationsDirichlet formsasymptotics |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Raffaela Capitanelli Mirko D’Ovidio |
| spellingShingle |
Raffaela Capitanelli Mirko D’Ovidio Approximation of Space-Time Fractional Equations Fractal and Fractional space–time fractional equations Dirichlet forms asymptotics |
| author_facet |
Raffaela Capitanelli Mirko D’Ovidio |
| author_sort |
Raffaela Capitanelli |
| title |
Approximation of Space-Time Fractional Equations |
| title_short |
Approximation of Space-Time Fractional Equations |
| title_full |
Approximation of Space-Time Fractional Equations |
| title_fullStr |
Approximation of Space-Time Fractional Equations |
| title_full_unstemmed |
Approximation of Space-Time Fractional Equations |
| title_sort |
approximation of space-time fractional equations |
| publisher |
MDPI AG |
| series |
Fractal and Fractional |
| issn |
2504-3110 |
| publishDate |
2021-07-01 |
| description |
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. |
| topic |
space–time fractional equations Dirichlet forms asymptotics |
| url |
https://www.mdpi.com/2504-3110/5/3/71 |
| work_keys_str_mv |
AT raffaelacapitanelli approximationofspacetimefractionalequations AT mirkodovidio approximationofspacetimefractionalequations |
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1717366734778793984 |