Affiliation:
1. School of Mathematics Thapar Institute of Engineering and Technology Patiala India
2. School of Mathematical and Statistical Sciences Indian Institute of Technology Mandi Kamand India
3. CHP‐LCOCS, School of Mathematics and Statistics Hunan Normal University Changsha China
Abstract
AbstractIn this paper, we study a new class of noninstantaneous impulsive fractional stochastic differential systems driven by the Rosenblatt process with state‐dependent delay. We utilized the
‐resolvent family, fixed point technique, and solution operator to present the solvability of the proposed system. Further, we derived the existence of optimal multicontrol pairs for the considered system. Finally, the main results are validated with the aid of an example.
Funder
Natural Science Foundation of Hunan Province
National Natural Science Foundation of China
Science and Technology Program of Hunan Province
Subject
Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)