Existence and uniqueness for stochastic age-dependent population with fractional Brownian motion (Q1955221)

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.