Solvability of Boundary Value Problems for Impulsive Fractional Differential Equations Via Critical Point Theory
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- 作者：Yanning Wang ; Yongkun Li ; Jianwen Zhou
- 关键词：Impulsive fractional differential equation ; boundary value problem ; critical points
- 刊名：Mediterranean Journal of Mathematics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：13
- 期：6
- 页码：4845-4866
- 全文大小：648 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Birkh盲user Basel
- ISSN：1660-5454
- 卷排序：13
文摘
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.