Stability exploration in fractional h-difference equations with incommensurate orders

Abstract

This article conducts a comprehensive stability analysis for h-Fractional Order Differences (h-FoDs) in both linear and non-linear states, considering commensurate and incommensurate orders. The stability findings are encapsulated in the form of relevant theorems. Numerical examples are provided to validate the theoretical results, showcasing their applicability across various domains.

Keywords

• Fractional order
• h-difference
• incommensurate order
• stability