Optimal control of Hilfer fractional stochastic integrodifferential systems driven by Rosenblatt process and Poisson jumps

作     者：K.Ramkumar K.Ravikumar E.M.Elsayed 

作者机构：Department of Mathematics with CAPSG College of Arts&ScienceCoimbatoreIndia Department of MathematicsPSG College of Arts&ScienceCoimbatoreIndia Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia Department of MathematicsFaculty of ScienceMansoura UniversityMansouraEgypt 

出 版 物：《Journal of Control and Decision》 (控制与决策学报（英文）)

年 卷 期：2023年第10卷第4期

页      面：538-546页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 0811[工学-控制科学与工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The authors would like to thank the helpful comments and suggestions of the Associate Editor and the anonymous reviewers  which have improved the presentation of this paper 

主　　题：Hilfer fractional derivative stochastic integrodifferential systems Rosenblatt process Poisson jumps successive approximation optimal control 

摘      要：In this work,the optimal control for a class of Hilfer fractional stochastic integrodifferential systems driven by Rosenblatt process and Poisson jumps has been discussed in infinite dimensional space involving the Hilfer fractional ***,we study the existence and uniqueness of mild solution results are proved by the virtue of fractional calculus,successive approximation method and stochastic analysis ***,the optimal control of the proposed problem is presented by using Balder’s ***,an example is demonstrated to illustrate the obtained theoretical results.