Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation

被引：0
作者：
Rabia Ilyas Butt
Thabet Abdeljawad
Mujeeb ur Rehman
机构：
[1] National University of Sciences and Technology,Department of Mathematics, School of Natural Sciences
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] China Medical University,Department of Medical Research
[4] Asia University,Department of Computer Science and Information Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
Caputo nabla fractional difference; Stability; Schauder’s fixed point theorem; Banach contraction principle; Krasnoselskii’s fixed point theorem;
D O I：
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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.
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