Oscillation criteria for nonlinear fractional differential equation with damping term

Bayram M., Adiguzel H., Seçer A.

OPEN PHYSICS, cilt.14, ss.119-128, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/phys-2016-0012
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.119-128
  • Anahtar Kelimeler: oscillation, oscillation criteria, fractional derivative, modified Riemann-Lioville derivative, damping term, BOUNDARY-VALUE PROBLEM, POSITIVE SOLUTIONS, EXISTENCE, STABILITY
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a generalized Riccati transformation, inequalities, and integration average technique we establish new oscillation criteria for the fractional differential equation. Several illustrative examples are also given.