Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces

详细信息    查看全文

• 作者：Jianxin Cao ; ^a ; ^{cao.jianxin@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{caojxde@126.com" class="auth_mail" title="E-mail the corresponding author} ; Yiping Luo^b ; ^{lyp122@163.com" class="auth_mail" title="E-mail the corresponding author} ; Guanghui Liu^a ; ^{lgh233@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fractional differential inclusions ; Nonlocal conditions ; Existence results ; Continuous dependence
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：273
• 期：Complete
• 页码：237-257
• 全文大小：499 K

文摘

This paper is concerned with impulsive fractional differential inclusions with sectorial operators, nonlocal conditions and infinite delay in Banach spaces. Using tools involving the measure of noncompactness and multi-valued fixed point theory, we derive some existence results of PC-mild solutions when the multivalued map F is convex as well as nonconvex. Furthermore, the compactness of the set of solutions and continuous dependence results are also obtained. As an application, an impulsive neutral partial functional differential equation is also investigated at last.