A generalized fractional (q,h)-Gronwall inequality and its applications to nonlinear fractional delay (q,h)-difference systems
• Feifei Du,
• Baoguo Jia
Feifei Du
Shanghai Jiao Tong University
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Baoguo Jia
Sun Yat-Sen University
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Abstract

In this paper, a generalized fractional $(q,h)$-Gronwall inequality is investigated. Based on this inequality, we derive the uniqueness theorem and the finite-time stability criterion of nonlinear fractional delay $(q,h)$-difference systems. Several examples are given to illustrate our theoretical result.

Peer review status:Published

21 Apr 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7426