This investigation finds the ordering property and boundary condition for Lyapunov inequalities with discrete fractional Green's function, indicating key implications for fractional analysis.
This article considers a Lyapunov delta-type inequality with Green’s functions including fractional falling functions. We define a fractional difference problem of Riemann-Liouville type with a fractional boundary condition and, using the Green’s function, obtain the ordering property in a discrete domain. Moreover, we apply the properties of this function to find the existence of a delta Lyapunov inequality.
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Mohammed et al. (2025) studied this question.
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