Controllability of Sobolev type stochastic differential equations driven by fBm with non-instantaneous impulses

نویسندگان
G, Deekshitulu VSR ID 1
Sunkavilli, Madhuri ID 2

1 Department of Mathematics, UCEK, JNTUK, Kakinada, A.P., India

2 Department of Mathematics, UCEK, JNTUK, Kakinada, A.P., India

doi
10.22075/ijnaa.2022.20542.2164
چکیده

In this paper, we examine the controllability results for a class of multi-valued Sobolev type neutral stochastic differential equations that are steered by fractional Brownian motion $B_t^H$ with non-instantaneous impulses for $H \in (\frac{1}{2},1)$ by assuming the controllability of the linear system. The results are obtained by utilizing the fixed-point theorem for multi-valued operators and stochastic analysis. At last, an example is given to represent the results of the theorem

کلیدواژه‌ها
Controllability, Fractional Brownian motion, Fixed point theorem, non instantaneous impulses, Sobolev type stochastic differential equations