Study on a semilinear fractional stochastic system with multiple delays in control

AIMS Mathematics

article

Abdur Raheem¹  Maryam G. Alshehri²  Asma Afreen¹  Areefa Khatoon¹  Musaad S. Aldhabani² 

[1] Department of Mathematics, Aligarh Muslim University;Department of Mathematics, Faculty of Science, University of Tabuk

关键词: Caputo fractional derivative;    controllability;    stochastic system;    control;    multiple delays;   

DOI  :  10.3934/math.2022687

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper studies a semilinear fractional stochastic differential equation with multiple constant point delays in control. We transform the controllability problem into a fixed point problem. We obtain sufficient condition for the controllability by using Schauder's fixed point theorem. In addition, we discuss the optimal controllability of the problem. Some examples are given to illustrate the main result.

【 授权许可】

CC BY