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A generalized fractional ( q , h )–Gronwall inequality and its applications to nonlinear fractional delay ( q , h )–difference systems
Author(s) -
Du Feifei,
Jia Baoguo
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7426
Subject(s) - mathematics , gronwall's inequality , uniqueness , nonlinear system , stability (learning theory) , inequality , mathematical analysis , physics , quantum mechanics , machine learning , computer science
In this paper, a generalized fractional ( q , h )–Gronwall inequality is investigated. Based on this inequality, the uniqueness theorem and the finite–time stability criterion of nonlinear fractional delay ( q , h )–difference systems are derived. Finally, several examples are given to illustrate the effectiveness of our theoretical result.