文章基本信息

标题：Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation
本地全文：下载
作者：Rabia Ilyas Butt ; Thabet Abdeljawad ; Mujeeb ur Rehman 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-11
DOI：10.1186/s13662-020-02674-1
出版社：Hindawi Publishing Corporation
摘要：Fractional difference equations have become important due to their qualitative properties and applications in discrete modeling. Stability analysis of solutions is one of the most widely used qualitative properties with tremendous applications. In this paper, we investigate the existence and stability results for a class of non-linear Caputo nabla fractional difference equations. To obtain the existence and stability results, we use Schauder’s fixed point theorem, the Banach contraction principle and Krasnoselskii’s fixed point theorem. The analysis of the theoretical results depends on the structure of nabla discrete Mittag-Leffler functions. An example is provided to illustrate the theoretical results.
关键词：Caputo nabla fractional difference;Stability;Schauder’s fixed point theorem;Banach contraction principle;Krasnoselskii’s fixed point theorem;