Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses

Dhayal Rajesh; Francisco Gomez-Aguilar Jose; Fernandez-Anaya Guillermo

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Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses

机译：Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses

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摘要

The objective of this article is to consider a new class of fractional stochastic differential systems driven by the Rosenblatt process with impulses. We used fractional calculus, stochastic analysis, and Krasnoselskii's fixed point theorem to study the existence of piecewise continuous mild solutions for the proposed system. Further, we discussed the existence of optimal controls for the considered system. Our main results are well supported by an illustrative example.

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来源
《Optimal Control Applications and Methods》 |2022年第2期|386-401|共16页
作者
Dhayal Rajesh; Francisco Gomez-Aguilar Jose; Fernandez-Anaya Guillermo;
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作者单位

Thapar Inst Engn & Technol;

CONACyT Tecnol Nacl Mexico CENIDET;

Univ Iberoamer;

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原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
impulsive fractional stochastic differential systems; optimal controls; Rosenblatt process; semigroup theory; EVOLUTION-EQUATIONS; MILD SOLUTIONS; NONLOCAL CONDITIONS; EXISTENCE; CONTROLLABILITY; DELAY; STABILITY; SOLVABILITY; INCLUSIONS;

Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses

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