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.
引用
下载
收藏
页码：593 / 605
页数：13
相关论文
共 50 条
  • [31] Boundary value problems for semilinear differential inclusions of fractional order in a Banach space
    Kamenskii, Mikhail
    Obukhovskii, Valeri
    Petrosyan, Garik
    Yao, Jen-Chih
    APPLICABLE ANALYSIS, 2018, 97 (04) : 571 - 591
  • [32] Controllability of semilinear neutral differential equations with impulses and nonlocal conditions
    Camacho, Oscar
    Leiva, Hugo
    Riera-Segura, Lenin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 9826 - 9839
  • [33] NONLOCAL SEMILINEAR SECOND-ORDER DIFFERENTIAL INCLUSIONS IN ABSTRACT SPACES WITHOUT COMPACTNESS
    Pavlackova, Martina
    Taddei, Valentina
    ARCHIVUM MATHEMATICUM, 2023, 59 (01): : 99 - 107
  • [34] ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses
    Liu, Shengda
    Debbouche, Amar
    Wang, JinRong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 343 - 355
  • [35] A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces
    Wang, JinRong
    Ibrahim, A. G.
    O'Regan, D.
    Zhou, Yong
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [36] A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces
    JinRong Wang
    AG Ibrahim
    D O’Regan
    Yong Zhou
    Advances in Difference Equations, 2017
  • [37] Existence of Mild Solution of a Class of Nonlocal Fractional order Differential Equation with not Instantaneous Impulses
    Jayanta Borah
    Swaroop Nandan Bora
    Fractional Calculus and Applied Analysis, 2019, 22 : 495 - 508
  • [38] EXISTENCE OF MILD SOLUTION OF A CLASS OF NONLOCAL FRACTIONAL ORDER DIFFERENTIAL EQUATION WITH NOT INSTANTANEOUS IMPULSES
    Borah, Jayanta
    Bora, Swaroop Nandan
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (02) : 495 - 508
  • [39] On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
    Benedetti, Irene
    Obukhovskii, Valeri
    Taddei, Valentina
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [40] Some existence results for differential inclusions of fractional order with nonlocal strip conditions
    Alsulami, Hamed H.
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
12345