Oscillatory behavior of three dimensional α-fractional delay differential systems

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Kilicman A., Sadhasivam V., Deepa M., Nagajothi N.

Symmetry, cilt.10, sa.12, 2018 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 12
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3390/sym10120769
  • Dergi Adı: Symmetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Delay differential system, Nonlinear differential system, Oscillation, α-fractional derivative
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

© 2018 by the authors.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.