Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈(1,2)

被引：7
|
作者：
Wang, JinRong [1 ]
Ibrahim, Ahmed G. [2 ]
O'Regan, Donal [3 ]
Elmandouh, Adel A. [2 ,4 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] King Faisal Univ, Fac Sci, Dept Math, Al Hasa 31982, Saudi Arabia
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2021年 / 22卷 / 05期
基金：
中国国家自然科学基金;
关键词：
compactness; fractional evolution inclusions; nonempty; non-instantaneous impulses; solution set; EQUATIONS; EXISTENCE;
D O I：
10.1515/ijnsns-2019-0179
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we establish the existence of mild solutions for nonlocal fractional semilinear differential inclusions with noninstantaneous impulses of order a. (1,2) and generated by a cosine family of bounded linear operators. Moreover, we show the compactness of the solution set. We consider both the case when the values of the multivalued function are convex and nonconvex. Examples are given to illustrate the theory.
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页码：593 / 605
页数：13
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