Fractional Measure-dependent Nonlinear Second-order Stochastic Evolution Equations with Poisson Jumps

This paper focuses on a nonlinear second-order stochastic evolution equations driven by a fractional Brownian motion (fBm) with Poisson jumps and which is dependent upon a family of probability measures. The global existence of mild solutions is established under various growth conditions, and a rel...

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Bibliographic Details
Main Authors: McKibben Mark A., Webster Micah
Format: Article
Language:English
Published: De Gruyter 2018-05-01
Series:Nonautonomous Dynamical Systems
Subjects:
Online Access:https://doi.org/10.1515/msds-2018-0005