文章基本信息

标题：Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations
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作者：Qun Dai ; Ruimei Gao ; Zhe Li 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：1-15
DOI：10.1186/s13662-020-02558-4
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate a class of nonlinear fractional differential equations with integral boundary condition. By means of Krasnosel’skiĭ fixed point theorem and contraction mapping principle we prove the existence and uniqueness of solutions for a nonlinear system. By means of Bielecki-type metric and the Banach fixed point theorem we investigate the Ulam–Hyers and Ulam–Hyers–Rassias stability of nonlinear fractional differential equations. Besides, we discuss an example for illustration of the main work.
关键词：Caputo fractional derivative ; Integral boundary condition ; Ulam–Hyers stability ; Ulam–Hyers–Rassias stability ;