Existence and uniqueness for stochastic age-dependent population with fractional Brownian motion (Q1955221)
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scientific article; zbMATH DE number 6173599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness for stochastic age-dependent population with fractional Brownian motion |
scientific article; zbMATH DE number 6173599 |
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Existence and uniqueness for stochastic age-dependent population with fractional Brownian motion (English)
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11 June 2013
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Summary: A model for a class of age-dependent population dynamic system of fractional version with Hurst parameter \(h \in (1/2, 1]\) is established. We prove the existence and uniqueness of a mild solution under some regularity and boundedness conditions on the coefficients. The proofs of our results combine techniques of fractional Brownian motion calculus. Ideas of the finite-dimensional approximation by the Galerkin method are used.
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