Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia
Department of Electrical and Electronic Engineering, Istanbul Gelisim University, Avcilar, Istanbul 34310, Turkey
Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College (Periyar University), Rasipuram 637 401, Namakkal Dt., India
Author to whom correspondence should be addressed.
Received: 18 October 2018 / Revised: 4 December 2018 / Accepted: 11 December 2018 / Published: 18 December 2018
In the present work we study the oscillatory behavior of three dimensional
-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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MDPI and ACS Style
Kilicman, A.; Sadhasivam, V.; Deepa, M.; Nagajothi, N. Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems. Symmetry 2018, 10, 769.
Kilicman A, Sadhasivam V, Deepa M, Nagajothi N. Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems. Symmetry. 2018; 10(12):769.
Kilicman, Adem; Sadhasivam, Vadivel; Deepa, Muthusamy; Nagajothi, Nagamanickam. 2018. "Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems." Symmetry 10, no. 12: 769.
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