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

被引:103
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
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
收藏
页码:103 / 118
页数:16
相关论文
共 57 条
  • [1] Agarwal R.P., 2012, ABSTR APPL ANAL, V2012, P1, DOI DOI 10.1155/2012/305924
  • [2] Agarwal R. P., 2012, ADV DIFFER EQU, V74, P1
  • [3] Agarwal RP, 2008, MEM DIFFER EQU MATH, V44, P1
  • [4] Agarwal RP, 2009, TOPOL FIXED POINT TH, V6, P1, DOI 10.1007/978-0-387-75818-3_1
  • [5] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions
    Agarwal, Ravi P.
    Benchohra, Mouffak
    Hamani, Samira
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) : 973 - 1033
  • [6] PULSE MASS MEASLES VACCINATION ACROSS AGE COHORTS
    AGUR, Z
    COJOCARU, L
    MAZOR, G
    ANDERSON, RM
    DANON, YL
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1993, 90 (24) : 11698 - 11702
  • [7] Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
    Ahmad, Bashir
    Sivasundaram, S.
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) : 251 - 258
  • [8] Al-Omair RA, 2009, ELECTRON J DIFFER EQ
  • [9] [Anonymous], 2007, IMPULSIVE DIFFERENTI
  • [10] [Anonymous], 1999, APPL FRACTIONAL CALC