Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm

Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm

This manuscript is concerned with the solvability and optimal control of fractional stochastic systems driven by Wiener process and fractional Brownian motion (fBm) with non-instantaneous impulsive. By utilizing the concepts of fractional calculus, infinite-dimensional stochastic properties and semi...

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Main Authors: Balasubramaniam, Pagavathigounder, Sathiyaraj, T., Ratnavelu, Kurunathan
Format: Article
Published: Springer Verlag 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/41226/
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Institution: Universiti Malaya
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spelling my.um.eprints.412262023-09-14T07:18:35Z http://eprints.um.edu.my/41226/ Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm Balasubramaniam, Pagavathigounder Sathiyaraj, T. Ratnavelu, Kurunathan QA Mathematics This manuscript is concerned with the solvability and optimal control of fractional stochastic systems driven by Wiener process and fractional Brownian motion (fBm) with non-instantaneous impulsive. By utilizing the concepts of fractional calculus, infinite-dimensional stochastic properties and semigroup theory on fractional inclusion, the required conditions for existence of mild solution and optimal control are established. Existence of mild solution for the considered system is verified by using fixed point technique and suitable hypotheses on nonlinear teams. Further, an example is provided to express the validity of theoretical result. Springer Verlag 2022-09 Article PeerReviewed Balasubramaniam, Pagavathigounder and Sathiyaraj, T. and Ratnavelu, Kurunathan (2022) Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm. Bulletin of the Malaysian Mathematical Sciences Society, 45 (5). pp. 2787-2819. ISSN 0126-6705, DOI https://doi.org/10.1007/s40840-022-01351-8 <https://doi.org/10.1007/s40840-022-01351-8>. 10.1007/s40840-022-01351-8
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Balasubramaniam, Pagavathigounder
Sathiyaraj, T.
Ratnavelu, Kurunathan
Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm
description This manuscript is concerned with the solvability and optimal control of fractional stochastic systems driven by Wiener process and fractional Brownian motion (fBm) with non-instantaneous impulsive. By utilizing the concepts of fractional calculus, infinite-dimensional stochastic properties and semigroup theory on fractional inclusion, the required conditions for existence of mild solution and optimal control are established. Existence of mild solution for the considered system is verified by using fixed point technique and suitable hypotheses on nonlinear teams. Further, an example is provided to express the validity of theoretical result.
format Article
author Balasubramaniam, Pagavathigounder
Sathiyaraj, T.
Ratnavelu, Kurunathan
author_facet Balasubramaniam, Pagavathigounder
Sathiyaraj, T.
Ratnavelu, Kurunathan
author_sort Balasubramaniam, Pagavathigounder
title Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm
title_short Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm
title_full Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm
title_fullStr Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm
title_full_unstemmed Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm
title_sort optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fbm
publisher Springer Verlag
publishDate 2022
url http://eprints.um.edu.my/41226/
_version_ 1778161643914526720

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