Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Scientific Reports

DOI: 10.1038/s41598-025-32192-7

Authors: Pshtiwan Othman Mohammed, Meraa Arab

Institutions: UniNettuno University, University of Sulaimani, King Faisal University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,690

Funder: King Faisal University