A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’

2019/01/14 by Xiang Liu, Allan Peterson, Baoguo Jia +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · doi:10.1080/10236198.2018.1551382

openalex publication_date 2019/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

This paper gives a generalized h-fractional Gronwall's inequality. Applying this result, we prove the uniqueness and give bounds on solutions for a nonlinear h-fractional difference system with ‘maxima’. Finally, we give an example to illustrate one of our main results.

Citations

• On Riemann and Caputo fractional differences
• Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application