Solvability of Boundary Value Problems for Impulsive Fractional Differential Equations Via Critical Point Theory

被引：0
作者：
Yanning Wang
Yongkun Li
Jianwen Zhou
机构：
[1] Yunnan University,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Impulsive fractional differential equation; boundary value problem; critical points; 34A08; 34B15; 34B37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider boundary value problems for impulsive fractional differential equations containing left and right Riemann–Liouville fractional integral operators. Variational structure for these problems are established in a proper fractional derivative space, which can be regarded as a novelty item. Some sufficient conditions for the existence of solutions to this boundary value problem for nonlinear impulsive fractional differential equations are established by applying critical point theorems and some skills of inequalities. Finally, two examples are presented to show the feasibility and effectiveness of our results.
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页码：4845 / 4866
页数：21
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