On the Oscillation of Non-Linear Fractional Difference Equations with Damping

Alzabut J., Muthulakshmi V., Ozbekler A., Adigilzel H.

MATHEMATICS, cilt.7, sa.8, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 8
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7080687
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Hayır

Özet

In studying the Riccati transformation technique, some mathematical inequalities and comparison results, we establish new oscillation criteria for a non-linear fractional difference equation with damping term. Preliminary details including notations, definitions and essential lemmas on discrete fractional calculus are furnished before proceeding to the main results. The consistency of the proposed results is demonstrated by presenting some numerical examples. We end the paper with a concluding remark.