Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces

被引：102

作者：

Wang, JinRong ^{[1
,2
]}

Ibrahim, Ahmed Gamal ^{[3
]}

Feckan, Michal ^{[4
,5
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China

[3] King Faisal Univ, Dept Math, Fac Sci, Al Ahasa 31982, Saudi Arabia

[4] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Bratislava 84248, Slovakia

[5] Slovak Acad Sci, Math Inst, Bratislava 81473, Slovakia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 257卷

基金：

中国国家自然科学基金;

关键词：

Impulsive fractional differential inclusions; Fractional sectorial operators; Nonlocal conditions; Mild solutions; EXISTENCE; CALCULUS;

D O I：

10.1016/j.amc.2014.04.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates existence of PC-mild solutions of impulsive fractional differential inclusions with nonlocal conditions when the linear part is a fractional sectorial operators like in Bajlekova (2001) [1] on Banach spaces. We derive two existence results of PC-mild solutions when the values of the semilinear term F is convex as well as another existence result when its values are nonconvex. Further, the compactness of the set of solutions is characterized. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：103 / 118

页数：16

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