Controllability of Sobolev type stochastic differential equations driven by fBm with non-instantaneous impulses | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 76، دوره 13، شماره 2، مهر 2022، صفحه 923-938 اصل مقاله (445.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.20542.2164 | ||
| نویسندگان | ||
| Deekshitulu VSR G* ؛ Madhuri Sunkavilli | ||
| Department of Mathematics, UCEK, JNTUK, Kakinada, A.P., India | ||
| 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 | ||
| مراجع | ||
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