Existence and β -Ulam-Hyers stability for a class of fractional differential equations with non-instantaneous impulses

Advances in Difference Equations

Xiulan Yu¹ 

[1] College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, P.R. China

关键词: fractional differential equations;    non-instantaneous impulses;    existence;    β-Ulam-Hyers stability;   

DOI  :  10.1186/s13662-015-0415-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate a new class of fractional differential equations with non-instantaneous impulses. We give a suitable formula of piecewise continuous solutions and present the concept of β-Ulam-Hyers stability. We present existence and β-Ulam-Hyers stability results on a compact interval.

【 授权许可】

CC BY