CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE

Kottakkaran Sooppy Nisar; C. Ravichandran; Abdel Haleem Abdel-Aty; Ibrahim S. Yahia; Choonkil Park

doi:10.1142/S0218348X22401879

CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE

Kottakkaran Sooppy Nisar
, C. Ravichandran
, Abdel Haleem Abdel-Aty
, Ibrahim S. Yahia
, Choonkil Park

Mathematics

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

7 Scopus citations

Abstract

The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.

Original language	English
Article number	2240187
Journal	Fractals
Volume	30
Issue number	5
DOIs	https://doi.org/10.1142/S0218348X22401879
State	Published - 1 Aug 2022

Keywords

Banach Space
Fractional Calculus
Hilfer Derivative
Kuratowski Measure
Non-instantaneous Impulses
Total Controllability

Access to Document

10.1142/S0218348X22401879

Cite this

@article{e39cd0e1d2964c11803f63d9028a42f3,

title = "CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE",

abstract = "The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.",

keywords = "Banach Space, Fractional Calculus, Hilfer Derivative, Kuratowski Measure, Non-instantaneous Impulses, Total Controllability",

author = "\{Sooppy Nisar\}, Kottakkaran and C. Ravichandran and Abdel-Aty, \{Abdel Haleem\} and Yahia, \{Ibrahim S.\} and Choonkil Park",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s).",

year = "2022",

month = aug,

day = "1",

doi = "10.1142/S0218348X22401879",

language = "English",

volume = "30",

journal = "Fractals",

issn = "0218-348X",

publisher = "World Scientific",

number = "5",

}

TY - JOUR

T1 - CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE

AU - Sooppy Nisar, Kottakkaran

AU - Ravichandran, C.

AU - Abdel-Aty, Abdel Haleem

AU - Yahia, Ibrahim S.

AU - Park, Choonkil

PY - 2022/8/1

Y1 - 2022/8/1

N2 - The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.

AB - The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.

KW - Banach Space

KW - Fractional Calculus

KW - Hilfer Derivative

KW - Kuratowski Measure

KW - Non-instantaneous Impulses

KW - Total Controllability

UR - https://www.scopus.com/pages/publications/85134390514

U2 - 10.1142/S0218348X22401879

DO - 10.1142/S0218348X22401879

M3 - Article

AN - SCOPUS:85134390514

SN - 0218-348X

VL - 30

JO - Fractals

JF - Fractals

IS - 5

M1 - 2240187

ER -

CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this