Controllability of fractional neutral functional differential equations with infinite delay driven by fractional Brownian motion-Reference-Cited by-同舟云学术

Controllability of fractional neutral functional differential equations with infinite delay driven by fractional Brownian motion

Published:2021-06-11 Issue: Volume: Page:
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Dieye Moustapha¹,Lakhel El Hassan²,McKibben Mark A³

Affiliation:

1. AIMS Ghana, University of Ghana, Summerhill Estates, East Legon Hills, Santoe, Accra GPS: GK- 0647-1372, Ghana

2. Cadi Ayyad University, National School of Applied Sciences, 46000 Safi, Morocco

3. Department of Mathematics, West Chester University of Pennsylvania, West Chester, PA 19383, USA

Abstract

Abstract In this work, we establish a controllability result for a class of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion. To attain our objective we adapt the argument of Lakhel & McKibben (2018, Stochastics 90, no. 3, 313–329) where the existence of mild solutions to such stochastic equations was studied. An example is provided to show the applicability of the theoretical result.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/advance-article-pdf/doi/10.1093/imamci/dnab020/38605403/dnab020.pdf

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