A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA-BALEANU-CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

Kottakkaran Sooppy Nisar; V. Vijayaraj; N. Valliammal; K. Logeswari; C. Ravichandran; Abdel Haleem Abdel-Aty; Ibrahim S. Yahia

doi:10.1142/S0218348X22402034

A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA-BALEANU-CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

Kottakkaran Sooppy Nisar
, V. Vijayaraj
, N. Valliammal
, K. Logeswari
, C. Ravichandran
, Abdel Haleem Abdel-Aty
, Ibrahim S. Yahia

Prince Sattam Bin Abdulaziz University
Bharathiar University
Anna University
University of Bisha
King Khalid University
Ain Shams University

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

7 Scopus citations

Abstract

This paper describes the required and adequate conditions for controllability and optimal controls of Atangana-Baleanu-Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.

Original language	English
Article number	2240203
Journal	Fractals
Volume	30
Issue number	8
DOIs	https://doi.org/10.1142/S0218348X22402034
State	Published - 1 Dec 2022
Externally published	Yes

Keywords

Controllability
Fixed Point Theorem
Fractional Calculus
Noninstantaneous Impulse
Optimal Control
Semigroup

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10.1142/S0218348X22402034

Cite this

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title = "A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA-BALEANU-CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS",

abstract = "This paper describes the required and adequate conditions for controllability and optimal controls of Atangana-Baleanu-Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.",

keywords = "Controllability, Fixed Point Theorem, Fractional Calculus, Noninstantaneous Impulse, Optimal Control, Semigroup",

author = "Nisar, \{Kottakkaran Sooppy\} and V. Vijayaraj and N. Valliammal and K. Logeswari and C. Ravichandran and Abdel-Aty, \{Abdel Haleem\} and Yahia, \{Ibrahim S.\}",

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doi = "10.1142/S0218348X22402034",

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AU - Nisar, Kottakkaran Sooppy

AU - Vijayaraj, V.

AU - Valliammal, N.

AU - Logeswari, K.

AU - Ravichandran, C.

AU - Abdel-Aty, Abdel Haleem

AU - Yahia, Ibrahim S.

PY - 2022/12/1

Y1 - 2022/12/1

N2 - This paper describes the required and adequate conditions for controllability and optimal controls of Atangana-Baleanu-Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.

AB - This paper describes the required and adequate conditions for controllability and optimal controls of Atangana-Baleanu-Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.

KW - Controllability

KW - Fixed Point Theorem

KW - Fractional Calculus

KW - Noninstantaneous Impulse

KW - Optimal Control

KW - Semigroup

UR - https://www.scopus.com/pages/publications/85139044688

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DO - 10.1142/S0218348X22402034

M3 - Article

AN - SCOPUS:85139044688

SN - 0218-348X

VL - 30

JO - Fractals

JF - Fractals

IS - 8

M1 - 2240203

ER -

A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA-BALEANU-CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

Abstract

Keywords

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