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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| Format: | Article |
| Language: | English |
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M D P I AG
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75177/ http://psasir.upm.edu.my/id/eprint/75177/2/Oscillatory%20behavior%20of%20three%20dimensional%20%CE%B1-fractional%20delay%20differential%20systems.pdf |
| _version_ | 1848857623238017024 |
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| author | Kilicman, Adem Sadhasivam, Vadivel Deepa, Muthusamy Nagajothi, Nagamanickam |
| author_facet | Kilicman, Adem Sadhasivam, Vadivel Deepa, Muthusamy Nagajothi, Nagamanickam |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T12:00:29Z |
| format | Article |
| id | upm-75177 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:29Z |
| publishDate | 2018 |
| publisher | M D P I AG |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Kilicman, Adem Sadhasivam, Vadivel Deepa, Muthusamy Nagajothi, Nagamanickam Oscillatory behavior of three dimensional α-fractional delay differential systems |
| title | 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_short | Oscillatory behavior of three dimensional α-fractional delay differential systems |
| title_sort | oscillatory behavior of three dimensional α-fractional delay differential systems |
| url | http://psasir.upm.edu.my/id/eprint/75177/ http://psasir.upm.edu.my/id/eprint/75177/ http://psasir.upm.edu.my/id/eprint/75177/ http://psasir.upm.edu.my/id/eprint/75177/2/Oscillatory%20behavior%20of%20three%20dimensional%20%CE%B1-fractional%20delay%20differential%20systems.pdf |