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  • Author: Thirunavukarasu Kalaimani x
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In this paper, we study the oscillatory behavior of solutions of the fractional difference equation of the form


where Δα denotes the Riemann-Liouville fractional difference operator of order α, 0 < α ≤ 1, ℕt0+1−α={t 0+1−αt 0+2−α…}, t 0 > 0 and γ > 0 is a quotient of odd positive integers. We establish some oscillatory criteria for the above equation, using the Riccati transformation and Hardy type inequalities. Examples are provided to illustrate the theoretical results.