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

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 add...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 7; pp. 12374 - 12389
Main Authors Raheem, Abdur, Alshehri, Maryam G., Afreen, Asma, Khatoon, Areefa, Aldhabani, Musaad S.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
caputo fractional derivative
control
controllability
multiple delays
stochastic system
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022687