Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay

Aziz Khan; Qura Tul Ain; Thabet Abdeljawad; Kottakkaran Sooppy Nisar

doi:10.1007/s12346-023-00761-8

Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay

Aziz Khan
, Qura Tul Ain
, Thabet Abdeljawad
, Kottakkaran Sooppy Nisar

Mathematics

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

16 Scopus citations

Abstract

In this article, we discuss the exact controllability of a fractional order differential system involving Hilfer fractional(HF) derivative, state-dependent delay function and impulsive conditions. To obtain the proposed result, we use the semigroup theory, theory of measure of non-compactness and fixed point technique. Finally, an example is given to illustrate the application of the obtained results.

Original language	English
Article number	62
Journal	Qualitative Theory of Dynamical Systems
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/s12346-023-00761-8
State	Published - Jun 2023

Keywords

Controllability
Hilfer fractional derivative
Impulsive conditions
Neutral fractional differential equation
State dependent delay

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10.1007/s12346-023-00761-8

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title = "Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay",

abstract = "In this article, we discuss the exact controllability of a fractional order differential system involving Hilfer fractional(HF) derivative, state-dependent delay function and impulsive conditions. To obtain the proposed result, we use the semigroup theory, theory of measure of non-compactness and fixed point technique. Finally, an example is given to illustrate the application of the obtained results.",

keywords = "Controllability, Hilfer fractional derivative, Impulsive conditions, Neutral fractional differential equation, State dependent delay",

author = "Aziz Khan and Ain, \{Qura Tul\} and Thabet Abdeljawad and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

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T1 - Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay

AU - Khan, Aziz

AU - Ain, Qura Tul

AU - Abdeljawad, Thabet

AU - Nisar, Kottakkaran Sooppy

PY - 2023/6

Y1 - 2023/6

N2 - In this article, we discuss the exact controllability of a fractional order differential system involving Hilfer fractional(HF) derivative, state-dependent delay function and impulsive conditions. To obtain the proposed result, we use the semigroup theory, theory of measure of non-compactness and fixed point technique. Finally, an example is given to illustrate the application of the obtained results.

AB - In this article, we discuss the exact controllability of a fractional order differential system involving Hilfer fractional(HF) derivative, state-dependent delay function and impulsive conditions. To obtain the proposed result, we use the semigroup theory, theory of measure of non-compactness and fixed point technique. Finally, an example is given to illustrate the application of the obtained results.

KW - Controllability

KW - Hilfer fractional derivative

KW - Impulsive conditions

KW - Neutral fractional differential equation

KW - State dependent delay

UR - https://www.scopus.com/pages/publications/85149717098

U2 - 10.1007/s12346-023-00761-8

DO - 10.1007/s12346-023-00761-8

M3 - Article

AN - SCOPUS:85149717098

SN - 1575-5460

VL - 22

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 2

M1 - 62

ER -

Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay

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