Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

Velusamy Vijayakumar; Saud Fahad Aldosary; Kottakkaran Sooppy Nisar

doi:10.3390/fractalfract6020081

Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

Vellore Institute of Technology

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

14 Scopus citations

Abstract

This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Mönch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.

Original language	English
Article number	81
Journal	Fractal and Fractional
Volume	6
Issue number	2
DOIs	https://doi.org/10.3390/fractalfract6020081
State	Published - Feb 2022

Keywords

Controllability
Hilfer fractional system
Measure of noncompactness
Neutral system
Nonlocal conditions
Volterra-Fredholm integro-differential equations

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10.3390/fractalfract6020081

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title = "Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems",

abstract = "This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and M{\"o}nch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.",

keywords = "Controllability, Hilfer fractional system, Measure of noncompactness, Neutral system, Nonlocal conditions, Volterra-Fredholm integro-differential equations",

author = "Velusamy Vijayakumar and Aldosary, \{Saud Fahad\} and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2022",

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doi = "10.3390/fractalfract6020081",

language = "English",

volume = "6",

journal = "Fractal and Fractional",

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T1 - Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

AU - Vijayakumar, Velusamy

AU - Aldosary, Saud Fahad

AU - Nisar, Kottakkaran Sooppy

PY - 2022/2

Y1 - 2022/2

N2 - This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Mönch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.

AB - This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Mönch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.

KW - Controllability

KW - Hilfer fractional system

KW - Measure of noncompactness

KW - Neutral system

KW - Nonlocal conditions

KW - Volterra-Fredholm integro-differential equations

UR - https://www.scopus.com/pages/publications/85123923279

U2 - 10.3390/fractalfract6020081

DO - 10.3390/fractalfract6020081

M3 - Article

AN - SCOPUS:85123923279

SN - 2504-3110

VL - 6

JO - Fractal and Fractional

JF - Fractal and Fractional

IS - 2

M1 - 81

ER -

Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

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Keywords

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