Wang, BingjunGao, Hongjun2021-12-062021-12-062019-11-15Wang, B., & Gao, H. (2019). Neutral stochastic partial functional integro-differential equations driven by G-Brownian motion. <i>Electronic Journal of Differential Equations, 2019</i>(119), pp. 1-15.1072-6691https://hdl.handle.net/10877/15014In this article, we define the Hilbert-valued stochastic calculus with respect to G-Brownian motion in G-framework. On that basis, we prove the existence and uniqueness of mild solution for a class of neutral stochastic partial functional integro-differential equations driven by G-Brownian motion with non-Lipschitz coefficients. Our results are established by means of the Picard approximation. Moreover, we establish the stability of mild solution. An example is given to illustrate the theory.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalNeutral equationG-Brownian motionMild solutionStabilityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.