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Approximate Controllability of Impulsive Neutral Functional Differential Equations with State-dependent Delay via Fractional Operators

by N. Y. Nadaf, M. Mallika Arjunan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 2
Year of Publication: 2013
Authors: N. Y. Nadaf, M. Mallika Arjunan
10.5120/11811-7479

N. Y. Nadaf, M. Mallika Arjunan . Approximate Controllability of Impulsive Neutral Functional Differential Equations with State-dependent Delay via Fractional Operators. International Journal of Computer Applications. 69, 2 ( May 2013), 1-8. DOI=10.5120/11811-7479

@article{ 10.5120/11811-7479,
author = { N. Y. Nadaf, M. Mallika Arjunan },
title = { Approximate Controllability of Impulsive Neutral Functional Differential Equations with State-dependent Delay via Fractional Operators },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 69 },
number = { 2 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number2/11811-7479/ },
doi = { 10.5120/11811-7479 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:29:09.366765+05:30
%A N. Y. Nadaf
%A M. Mallika Arjunan
%T Approximate Controllability of Impulsive Neutral Functional Differential Equations with State-dependent Delay via Fractional Operators
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 2
%P 1-8
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this article, the problem of approximate controllability for nonlinear impulsive neutral differential systems with state-dependent delay is studied under the assumption that the corresponding linear control system is approximately controllable. Using Schauder's fixed point theorem and fractional powers of operators with semigroup theory, sufficient conditions are formulated and proved.

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Index Terms

Computer Science
Information Sciences

Keywords

Approximate controllability Impulsive neutral functional differential equations Semigroup theory State-dependent delay Fixed point

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