Impulsive boundary value problem for a fractional differential equation

Boundary value problems

Shuai Yang¹  Shuqin Zhang² 

[1] School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing, China;School of Science, China University of Mining and Technology, Beijing, China

关键词: boundary value problem;    impulsive;    fractional derivative;    fixed point theorem;    26A33;    34A08;    34A37;    34G20;    34K10;   

DOI  :  10.1186/s13661-016-0711-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss a boundary value problem for an impulsive fractional differential equation. By transforming the boundary value problem into an equivalent integral equation, and employing the Banach fixed point theorem and the Schauder fixed point theorem, existence results for the solutions are obtained. For application, we provide some examples to illustrate our main results.

【 授权许可】

CC BY