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governing equation

Mathematical Modelling of Natural Phenomena (1)

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Inverse Stable Subordinators
M. M. Meerschaert, P. Straka
Journal:

Mathematical Modelling of Natural Phenomena / Volume 8 / Issue 2 / 2013

Published online by Cambridge University Press:

24 April 2013, pp. 1-16

Print publication:

2013
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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.