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<p>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.</p>

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Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green’s function

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月19日

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  • Pshtiwan Othman Mohammed,
  • Meraa Arab

摘要

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.