加权Caputo-Fabrizio分数阶微分方程的Hyers-Ulam稳定性和解的存在性

Q1 Mathematics

Chaos, Solitons and Fractals: X Pub Date : 2020-03-01 DOI:10.1016/j.csfx.2020.100040

Xia Wu, Fulai Chen, Sufang Deng

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引用次数: 3

摘要

本文研究了具有加权Caputo-Fabrizio分数阶导数的线性方程的Hyers-Ulam稳定性和广义Hyers-Ulam稳定性。利用Schaefer不动点定理，建立了非线性方程解的存在唯一性。此外，我们还利用Gronwall不等式给出了一个广义的Hyers-Ulam稳定性结果。最后，给出了两个例子来说明我们的主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Hyers-Ulam stability and existence of solutions for weighted Caputo-Fabrizio fractional differential equations

In this paper, we study Hyers-Ulam stability and generalized Hyers-Ulam stability of linear equations with weighted Caputo-Fabrizio fractional derivative. We establish existence and uniqueness of solutions for nonlinear equations using Schaefer’s fixed point theorem. In addition, we present a generalized Hyers-Ulam stability result via the Gronwall inequality. Finally, two examples are given to illustrate our main results.

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来源期刊

Chaos, Solitons and Fractals: X Mathematics-Mathematics (all)

CiteScore

5.00

自引率

0.00%

发文量

审稿时长

20 weeks