Yazar "Adiguzel, Hakan" seçeneğine göre listele

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    Oscillation theorems for nonlinear fractional difference equations
    (Springer, 2018) Adiguzel, Hakan
    In this study, we discuss some theorems related to the oscillatory behavior of nonlinear fractional difference equations equipped with well-known fractional Riemann-Liouville difference operator. Then we give an example for the illustration of the results obtained.
  • Küçük Resim
    Öğe
    Oscillatory behavior of solutions of certain fractional difference equations
    (Springer, 2018) Adiguzel, Hakan
    In this paper, we consider the oscillation behavior of solutions of the following fractional difference equation: (c(t) (a(t) (r(t) ax(t)))) + q(t) G(t) = 0, where t. Nt0+ 1-a, G(t) = t-1+ a s= t0 (t -s -1)-ax(s), and a denotes a Riemann-Liouville fractional difference operator of order 0 < a = 1. By using the generalized Riccati transformation technique, we obtain some oscillation criteria. Finally we give an example.