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

Chen, Churong; Mert, Raziye; Jia, Baoguo; Erbe, Lynn; Peterson, Allan2024-06-252024-06-2520191023-6198https://acikarsiv.thk.edu.tr/handle/123456789/1359We 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.EnglishFractional calculus; Gronwall's inequality; Nabla fractional difference equationsFINITE-TIME STABILITY; SINGULAR SYSTEMSGronwall's inequality for a nabla fractional difference system with a retarded argument and an applicationArticle