| Literature DB >> 25045216 |
Mark M Meerschaert1, Peter Straka2.
Abstract
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.Entities:
Keywords: fractional derivative; governing equation; hitting time; subordinator
Year: 2013 PMID： 25045216 PMCID： PMC4102015 DOI： 10.1051/mmnp/20138201
Source DB: PubMed Journal: Math Model Nat Phenom ISSN： 0973-5348 Impact factor: 4.157