Existence and Uniqueness for Stochastic Age-Dependent Population with Fractional Brownian Motion
Keyword(s):
A model for a class of age-dependent population dynamic system of fractional version with Hurst parameterh∈(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.
2018 ◽
Vol 26
(3)
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pp. 143-161
2010 ◽
Vol 20
(09)
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pp. 2761-2782
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2012 ◽
Vol 12
(04)
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pp. 1250004
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2019 ◽
Vol 27
(2)
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pp. 107-122