Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations

Advances in Difference Equations

article

Dai, Qun¹  Gao, Ruimei¹  Li, Zhe¹  Wang, Changjia¹ 

[1] School of Science, Changchun University of Science and Technology

关键词: Caputo fractional derivative;    Integral boundary condition;    Ulam–Hyers stability;    Ulam–Hyers–Rassias stability;   

DOI  :  10.1186/s13662-020-02558-4

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY