Open AccessStudy on a semilinear fractional stochastic system with multiple delays in control
Author(s) -
Abdur Raheem,
Maryam G. Alshehri,
Asma Afreen,
Areefa Khatoon,
Musaad S. Aldhabani
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022687
Subject(s) - controllability , mathematics , fixed point theorem , schauder fixed point theorem , constant (computer programming) , fixed point , point (geometry) , stochastic differential equation , control (management) , control theory (sociology) , mathematical analysis , computer science , picard–lindelöf theorem , geometry , artificial intelligence , programming language
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.