Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems

M. Johnson; V. Vijayakumar; Kottakkaran Sooppy Nisar; Anurag Shukla; Thongchai Botmart; V. Ganesh

doi:10.1016/j.aej.2022.06.038

Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems

M. Johnson
, V. Vijayakumar
, Kottakkaran Sooppy Nisar
, Anurag Shukla
, Thongchai Botmart
, V. Ganesh

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

The approximate controllability results of Atangana-Baleanu fractional stochastic integrodifferential systems with infinite delay are the topic of this paper. The essential discoveries are developed by employing techniques and theories from stochastic analysis, multivalued map theory, fractional calculus, and fixed point procedure. Before establishing the fractional stochastic control system's approximate controllability, we illustrate the existence of mild solutions. Ultimately, an example is offered to clarify our main points.

Original language	English
Pages (from-to)	211-222
Number of pages	12
Journal	Alexandria Engineering Journal
Volume	62
DOIs	https://doi.org/10.1016/j.aej.2022.06.038
State	Published - Jan 2023

Keywords

Atangana-Baleanu derivative
Fractional derivatives
Integrodifferential system
Mild solutions
Stochastic differential equation

Access to Document

10.1016/j.aej.2022.06.038

Cite this

@article{6b164835303d4232a38fc7e64983dc70,

title = "Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems",

abstract = "The approximate controllability results of Atangana-Baleanu fractional stochastic integrodifferential systems with infinite delay are the topic of this paper. The essential discoveries are developed by employing techniques and theories from stochastic analysis, multivalued map theory, fractional calculus, and fixed point procedure. Before establishing the fractional stochastic control system's approximate controllability, we illustrate the existence of mild solutions. Ultimately, an example is offered to clarify our main points.",

keywords = "Atangana-Baleanu derivative, Fractional derivatives, Integrodifferential system, Mild solutions, Stochastic differential equation",

author = "M. Johnson and V. Vijayakumar and Nisar, \{Kottakkaran Sooppy\} and Anurag Shukla and Thongchai Botmart and V. Ganesh",

note = "Publisher Copyright: {\textcopyright} 2022 THE AUTHORS",

year = "2023",

month = jan,

doi = "10.1016/j.aej.2022.06.038",

language = "English",

volume = "62",

pages = "211--222",

journal = "Alexandria Engineering Journal",

issn = "1110-0168",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems

AU - Johnson, M.

AU - Vijayakumar, V.

AU - Nisar, Kottakkaran Sooppy

AU - Shukla, Anurag

AU - Botmart, Thongchai

AU - Ganesh, V.

PY - 2023/1

Y1 - 2023/1

N2 - The approximate controllability results of Atangana-Baleanu fractional stochastic integrodifferential systems with infinite delay are the topic of this paper. The essential discoveries are developed by employing techniques and theories from stochastic analysis, multivalued map theory, fractional calculus, and fixed point procedure. Before establishing the fractional stochastic control system's approximate controllability, we illustrate the existence of mild solutions. Ultimately, an example is offered to clarify our main points.

AB - The approximate controllability results of Atangana-Baleanu fractional stochastic integrodifferential systems with infinite delay are the topic of this paper. The essential discoveries are developed by employing techniques and theories from stochastic analysis, multivalued map theory, fractional calculus, and fixed point procedure. Before establishing the fractional stochastic control system's approximate controllability, we illustrate the existence of mild solutions. Ultimately, an example is offered to clarify our main points.

KW - Atangana-Baleanu derivative

KW - Fractional derivatives

KW - Integrodifferential system

KW - Mild solutions

KW - Stochastic differential equation

UR - https://www.scopus.com/pages/publications/85135324872

U2 - 10.1016/j.aej.2022.06.038

DO - 10.1016/j.aej.2022.06.038

M3 - Article

AN - SCOPUS:85135324872

SN - 1110-0168

VL - 62

SP - 211

EP - 222

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this