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• W3100110786 abstract "In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the fractional derivatives. Furthermore we will discuss the concept of time-changed $C_0$-semigroup in case the time-change is performed by means of the hitting-time of a subordinator. We will show that such time-change give rise to bounded linear operators not preserving the semigroup property and we will present their governing equations by using again integro-differential operators. Such operators are non-local and therefore we will investigate the presence of long-range dependence." @default.
• W3100110786 created "2020-11-23" @default.
• W3100110786 creator A5077938078 @default.
• W3100110786 date "2014-07-03" @default.
• W3100110786 modified "2023-10-12" @default.
• W3100110786 title "Convolution-Type Derivatives, Hitting-Times of Subordinators and Time-Changed C 0-semigroups" @default.
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• W3100110786 doi "https://doi.org/10.1007/s11118-014-9426-5" @default.
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