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For:
D’Ovidio M
.
On the fractional counterpart of the higher-order equations.
Stat Probab Lett
2011. [DOI:
10.1016/j.spl.2011.08.004
]
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Citation(s) in
RCA
: 18
]
[
Impact Index Per Article: 1.4
]
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[Indexed: 12/01/2022]
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Cited by Other Article(s)
1
A Note on the Generalized Relativistic Diffusion Equation.
MATHEMATICS
2019. [DOI:
10.3390/math7111009
]
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Citation(s) in
RCA
: 2
]
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Impact Index Per Article: 0.4
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[Indexed: 11/16/2022]
Abstract
We study here a generalization of the time-fractional relativistic diffusion equation based on the application of Caputo fractional derivatives of a function with respect to another function. We find the Fourier transform of the fundamental solution and discuss the probabilistic meaning of the results obtained in relation to the time-scaled fractional relativistic stable process. We briefly consider also the application of fractional derivatives of a function with respect to another function in order to generalize fractional Riesz-Bessel equations, suggesting their stochastic meaning.
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2
D’Ovidio M
, Nane E. Time dependent random fields on spherical non-homogeneous surfaces.
Stoch Process Their Appl
2014. [DOI:
10.1016/j.spa.2014.02.001
]
[
Citation(s) in
RCA
: 11
]
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Impact Index Per Article: 1.1
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[Indexed: 12/01/2022]
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3
Beghin L
, D'Ovidio M. Fractional Poisson process with random drift.
ELECTRON J PROBAB
2014. [DOI:
10.1214/ejp.v19-3258
]
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Citation(s) in
RCA
: 5
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Impact Index Per Article: 0.5
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[Indexed: 11/19/2022]
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Affiliation(s)
Luisa Beghin
Sapienza University of Rome
Mirko D'Ovidio
Sapienza University of Rome
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4
Generalized Fractional Nonlinear Birth Processes.
Methodol Comput Appl Probab
2013. [DOI:
10.1007/s11009-013-9369-0
]
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Citation(s) in
RCA
: 5
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Impact Index Per Article: 0.5
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[Indexed: 10/26/2022]
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5
D’Ovidio M
. From Sturm–Liouville problems to fractional and anomalous diffusions.
Stoch Process Their Appl
2012. [DOI:
10.1016/j.spa.2012.06.002
]
[
Citation(s) in
RCA
: 23
]
[
Impact Index Per Article: 1.9
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[Indexed: 10/28/2022]
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