| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 2, 2013
Anomalous diffusion
|
|
|---|---|---|
| Page(s) | 1 - 16 | |
| DOI | https://doi.org/10.1051/mmnp/20138201 | |
| Published online | 24 April 2013 | |
Inverse Stable Subordinators
1 Department of Statistics and
Probability, Michigan State University, East Lansing, MI
48824
2 School of Mathematics, University of
Manchester, Manchester, M13
9PL, United Kingdom
⋆
Corresponding author. E-mail: mcubed@unr.edu
The inverse stable subordinator provides a probability model for time-fractional differential equations, and leads to explicit solution formulae. This paper reviews properties of the inverse stable subordinator, and applications to a variety of problems in mathematics and physics. Several different governing equations for the inverse stable subordinator have been proposed in the literature. This paper also shows how these equations can be reconciled.
Mathematics Subject Classification: 60E07 / 35R11 / 26A33
Key words: fractional derivative / subordinator / governing equation / hitting time
© EDP Sciences, 2013
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