M. Reni Sagayaraj, A. George Maria Selvam, M. Paul Loganathan, Oscillation Criteria for a Class of Discrete Nonlinear Fractional Equations, BSMaSS Volume 9, The Bulletin of Society for Mathematical Services and Standards (Volume 9)
https://www.scipress.com/BSMaSS.9.25
Abstract:
    In this paper, we study the oscillatory behavior of the fractionaldifference equations of the following form (see in paper) denotes the Riemann-Liouville difference operator and η>0 is a quotient of odd positive integers. We establish some oscillation criteria forthe equation by using Riccati transformation technique and some inequalities. Anexample is shown to illustrate our main results.
Keywords:
    Difference Equations, Fractional Order, Inequality, Oscillation