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Oscillatory behavior of three dimensional α-fractional delay differential systems

In the present work we study the oscillatory behavior of three dimensional α-fractional nonlinear delay differential system. We establish some sufficient conditions that will ensure all solutions are either oscillatory or converges to zero, by using the inequality technique and generalized Riccati tr...

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Main Authors: Kilicman, Adem, Sadhasivam, Vadivel, Deepa, Muthusamy, Nagajothi, Nagamanickam
Format: Article
Language:English
Published: M D P I AG 2018
Online Access:http://psasir.upm.edu.my/id/eprint/75177/2/Oscillatory%20behavior%20of%20three%20dimensional%20%CE%B1-fractional%20delay%20differential%20systems.pdf
http://psasir.upm.edu.my/id/eprint/75177/
https://www.mdpi.com/2073-8994/10/12/769
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spelling my.upm.eprints.751772019-11-28T04:12:49Z http://psasir.upm.edu.my/id/eprint/75177/ Oscillatory behavior of three dimensional α-fractional delay differential systems Kilicman, Adem Sadhasivam, Vadivel Deepa, Muthusamy Nagajothi, Nagamanickam In the present work we study the oscillatory behavior of three dimensional α-fractional nonlinear delay differential system. We establish some sufficient conditions that will ensure all solutions are either oscillatory or converges to zero, by using the inequality technique and generalized Riccati transformation. The newly derived criterion are also used to establish a new class of systems with delay which are not covered in the existing study of literature. Further, we constructed some suitable illustrations. M D P I AG 2018-12 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75177/2/Oscillatory%20behavior%20of%20three%20dimensional%20%CE%B1-fractional%20delay%20differential%20systems.pdf Kilicman, Adem and Sadhasivam, Vadivel and Deepa, Muthusamy and Nagajothi, Nagamanickam (2018) Oscillatory behavior of three dimensional α-fractional delay differential systems. Symmetry, 10 (12). pp. 1-15. ISSN 2073-8994 https://www.mdpi.com/2073-8994/10/12/769 10.3390/sym10120769
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In the present work we study the oscillatory behavior of three dimensional α-fractional nonlinear delay differential system. We establish some sufficient conditions that will ensure all solutions are either oscillatory or converges to zero, by using the inequality technique and generalized Riccati transformation. The newly derived criterion are also used to establish a new class of systems with delay which are not covered in the existing study of literature. Further, we constructed some suitable illustrations.
format Article
author Kilicman, Adem
Sadhasivam, Vadivel
Deepa, Muthusamy
Nagajothi, Nagamanickam
spellingShingle Kilicman, Adem
Sadhasivam, Vadivel
Deepa, Muthusamy
Nagajothi, Nagamanickam
Oscillatory behavior of three dimensional α-fractional delay differential systems
author_facet Kilicman, Adem
Sadhasivam, Vadivel
Deepa, Muthusamy
Nagajothi, Nagamanickam
author_sort Kilicman, Adem
title Oscillatory behavior of three dimensional α-fractional delay differential systems
title_short Oscillatory behavior of three dimensional α-fractional delay differential systems
title_full Oscillatory behavior of three dimensional α-fractional delay differential systems
title_fullStr Oscillatory behavior of three dimensional α-fractional delay differential systems
title_full_unstemmed Oscillatory behavior of three dimensional α-fractional delay differential systems
title_sort oscillatory behavior of three dimensional α-fractional delay differential systems
publisher M D P I AG
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/75177/2/Oscillatory%20behavior%20of%20three%20dimensional%20%CE%B1-fractional%20delay%20differential%20systems.pdf
http://psasir.upm.edu.my/id/eprint/75177/
https://www.mdpi.com/2073-8994/10/12/769
_version_ 1651869178085244928
score 13.18916

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