期刊论文

Existence results for a new class of abstract fractional differential inclusions

中文

邵阳学院学报(自然科学版)

1672-7010

2016

3

10-15

10.3969/j.issn.1672-7010.2016.03.002

国家自然科学基金青年项目（11501284）； 湖南省自然科学基金青年项目（2015JJ6095）；

本校为第一机构

本文在Hilbert空间中讨论了一类新的抽象分数阶微分包含。我们给出了该类问题mild解的定义,利用分数阶微积分,Clarke次微分和集值函数的不动点等相关理论,证明了该问题解的存在性。另外还证明了其解集是一个紧集。

In this paper,we consider a new class of abstract fractional differential inclusions in a Hilbert space. We first introduce the concept of mild solutions for this problem. Then the existence results are obtained by using techniques from fractional calculus, fixed points of multivalued maps and the theory of Clarke subdifferential. Finally,we prove that...