Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application

2019/02/22 by Churong Chen, Raziye Mert, Baoguo Jia +2
Mathematics · #Advanced Differential Equations and Dynamical Systems #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · doi:10.1080/10236198.2019.1581180

openalex publication_date 2019/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study the nabla fractional difference system with retarded argument. There are two major ingredients. A Gronwall's inequality for the nabla case is given. This allows us to evaluate the solution of nabla fractional difference system. We shall illustrate the validity of our results by means of examples.

Citations

• Differential-Difference Equations

Cited by

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