Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

Advances in Difference Equations

Haibo Chen¹  Liu Yang² 

[1] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China;Department of Mathematics, Central South University, Changsha, China

关键词: Positive Constant;    Fractional Order;    Fractional Derivative;    Fractional Calculus;    Fractional Differential Equation;   

DOI  :  10.1155/2011/404917

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study a nonlocal boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O'Regan, we establish sufficient conditions for the existence of at least one solution of the problem. For the illustration of the main result, an example is given.

【 授权许可】

CC BY