Null controllability of Hilfer fractional stochastic differential equations with nonlocal conditions-Reference-Cited by-同舟云学术

Null controllability of Hilfer fractional stochastic differential equations with nonlocal conditions

Published:2022 Issue:0 Volume:0 Page:0
ISSN:2155-3289
Container-title:Numerical Algebra, Control and Optimization
language:
Short-container-title:NACO

Author:

Chalishajar Dimplekumar¹,Ravikumar K.²,Ramkumar K.²,Anguraj A.²

Affiliation:

1. Department of Applied Mathematics, Virginia Military Institute, Lexington, VA 24450, USA

2. Department of Mathematics, PSG College of Arts & Science, Coimbatore, 641 046, India

Abstract

<p style='text-indent:20px;'>This paper assesses a class of nonlocal Hilfer fractional stochastic differential equations (NHFSDEs) governed by fractional Brownian motion (fBm). New sufficient condition of exact null controllability for this stochastic setting has been investigated using fractional calculus, fixed point theory and a theory of resolvent operator. The derived result is new because it generalizes several of previously published results. However, the obtained results are proven by an illustration using stochastic partial differential equations to demonstrate the present application characteristic of null controllability. A filter example is demonstrated to make use of resolvent operator in a practical way.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Algebra and Number Theory,Applied Mathematics,Control and Optimization,Algebra and Number Theory

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