Oscillatory behavior of three dimensional α-fractional delay differential systems

Citation

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

Abstract

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.

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Official URL or Download Paper: https://www.mdpi.com/2073-8994/10/12/769

Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.3390/sym10120769
Publisher:	M D P I AG
Keywords:	Oscillation; Nonlinear differential system; Delay differential system; α-fractional derivative
Depositing User:	Mr. Sazali Mohamad
Date Deposited:	28 Nov 2019 04:12
Last Modified:	28 Nov 2019 04:12
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=/10.3390/sym10120769
URI:	http://psasir.upm.edu.my/id/eprint/75177
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