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

Key Points

• The research aims to explore a Lyapunov delta-type inequality related to discrete fractional Green's functions and their properties.
• Defined a fractional difference problem of Riemann-Liouville type with fractional boundary condition.
• Utilized Green's function to derive ordering properties in a discrete domain.
• Investigated the existence of a delta Lyapunov inequality.
• Identified key ordering property related to the fractional Green's function.
• Established the existence of a delta-type Lyapunov inequality.