Work

Discrete Gronwall’s inequality for Ulam stability of delay fractional difference equations

Year: 2025

Type: article

Abstract: This paper investigates Ulam stability of delay fractional difference equations. First, a useful equality of double fractional sums is employed and discrete Gronwall’s inequality of delay type is provided. A delay discrete-time Mittag-Leffler function is used and its non-negativity condition is given. With the solutions’ existences, Ulam stability condition is presented to discuss the error estimation of exact and approximate solutions.

Source: Mathematical Modelling and Analysis

DOI: 10.3846/mma.2025.20017

Authors: Shu-Yu Yang, Guo-Cheng Wu

Institutions: Bohai University, Chongqing University of Posts and Telecommunications

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Sichuan Youth Science and Technology Foundation, National Natural Science Foundation of China

Awards: G157945578, G8076905638