On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system

K. Kavitha; V. Vijayakumar; Kottakkaran Sooppy Nisar

doi:10.1016/j.aej.2023.01.051

On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system

K. Kavitha
, V. Vijayakumar
, Kottakkaran Sooppy Nisar

Mathematics

Vellore Institute of Technology

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

8 Scopus citations

Abstract

The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems. The important outcomes are obtained by applying concepts and ideas from fractional calculus, Dhage's fixed point theorem, and multivalued maps. Finally, an example is given for deriving theoretical results.

Original language	English
Pages (from-to)	57-65
Number of pages	9
Journal	Alexandria Engineering Journal
Volume	69
DOIs	https://doi.org/10.1016/j.aej.2023.01.051
State	Published - 15 Apr 2023

Keywords

Approximate controllability
Hilfer fractional differential system
Infinite delay
Mild solution
Neutral system
Non-dense domain
Sobolev-type system

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10.1016/j.aej.2023.01.051

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title = "On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system",

abstract = "The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems. The important outcomes are obtained by applying concepts and ideas from fractional calculus, Dhage's fixed point theorem, and multivalued maps. Finally, an example is given for deriving theoretical results.",

keywords = "Approximate controllability, Hilfer fractional differential system, Infinite delay, Mild solution, Neutral system, Non-dense domain, Sobolev-type system",

author = "K. Kavitha and V. Vijayakumar and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2023 Faculty of Engineering, Alexandria University",

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AU - Kavitha, K.

AU - Vijayakumar, V.

AU - Nisar, Kottakkaran Sooppy

PY - 2023/4/15

Y1 - 2023/4/15

N2 - The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems. The important outcomes are obtained by applying concepts and ideas from fractional calculus, Dhage's fixed point theorem, and multivalued maps. Finally, an example is given for deriving theoretical results.

AB - The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems. The important outcomes are obtained by applying concepts and ideas from fractional calculus, Dhage's fixed point theorem, and multivalued maps. Finally, an example is given for deriving theoretical results.

KW - Approximate controllability

KW - Hilfer fractional differential system

KW - Infinite delay

KW - Mild solution

KW - Neutral system

KW - Non-dense domain

KW - Sobolev-type system

UR - https://www.scopus.com/pages/publications/85147542531

U2 - 10.1016/j.aej.2023.01.051

DO - 10.1016/j.aej.2023.01.051

M3 - Article

AN - SCOPUS:85147542531

SN - 1110-0168

VL - 69

SP - 57

EP - 65

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system

Abstract

Keywords

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