Oscillatory behavior of three dimensional α-fractional delay differential systems

Creative Commons License

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

Symmetry, vol.10, no.12, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 12
  • Publication Date: 2018
  • Doi Number: 10.3390/sym10120769
  • Journal Name: Symmetry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Delay differential system, Nonlinear differential system, Oscillation, α-fractional derivative
  • Istanbul Gelisim University Affiliated: No

Abstract

© 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.