Oscillation theorems for a class of forced non-linear discrete equations of fractional order with damping term

摘要

This paper aims to establish some new sufficiency conditions for the oscillatory behavior of the solutions of a forced non linear difference equation of fractional order with damping term Δ(Δ~μu(l))+γ(l)Δ~μu(l)+ρ(l)Ψ(u(l))=Φ(l),l∈N_0 Δ~(μ-1)u(0)=u(0)=u_0 with the assistance of properties of Riemann-Liouville (RL) sum and difference operators. Suitable examples are provided to demonstrate the applicability of the derived outcomes.