Study on a semilinear fractional stochastic system with multiple delays in control-Reference-Cited by-同舟云学术

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

Published:2022 Issue:7 Volume:7 Page:12374-12389
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Raheem Abdur¹,Alshehri Maryam G.²,Afreen Asma¹,Khatoon Areefa¹,Aldhabani Musaad S.²

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

2. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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