SOLUTIONS TO NONLOCAL FRACTIONAL DIFFERENTIAL EQUATIONS USING A NONCOMPACT SEMIGROUP

被引:0
|
作者
Ji, Shaochun [1 ]
Li, Gang [2 ]
机构
[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China
[2] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China
基金
中国国家自然科学基金;
关键词
Fractional differential equations; nonlocal conditions; measure of noncompactness; EVOLUTION-EQUATIONS; EXISTENCE; CONTROLLABILITY; SYSTEMS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some ex istence results are obtained when the nonlocal term is compact and when is Lipschitz continuous.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] Mild solutions to fractional differential inclusions with nonlocal conditions
    Lian, Tingting
    Xue, Changfeng
    Deng, Shaozhong
    BOUNDARY VALUE PROBLEMS, 2016,
  • [22] On global solutions to fractional functional differential equations with infinite delay in Frechet spaces
    Chang, Yong-Kui
    Arjunan, M. Mallika
    N'Guerekata, G. M.
    Kavitha, V.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1228 - 1237
  • [23] Monotone iterative technique for impulsive fractional evolution equations with noncompact semigroup
    Zhang, Lingzhong
    Liang, Yue
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [24] NULL CONTROLLABILITY OF NONLOCAL HILFER FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS
    Wang, Jinrong
    Ahmed, Hamdy M.
    MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 1073 - 1083
  • [25] NONLOCAL FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS IN SEPARABLE BANACH SPACES
    Li, Kexue
    Peng, Jigen
    Gao, Jinghuai
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [26] Coercive nonlocal elements in fractional differential equations
    Goodrich, Christopher S.
    POSITIVITY, 2017, 21 (01) : 377 - 394
  • [27] Mild solutions for fractional non-instantaneous impulses integro-differential equations with nonlocal conditions
    Li, Ye
    Qu, Biao
    AIMS MATHEMATICS, 2024, 9 (05): : 12057 - 12071
  • [28] On a class of nonlinear nonlocal fractional differential equations
    Fazli, Hossein
    Sun, Hongguang
    Aghchi, Sima
    Nieto, Juan J.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (03) : 441 - 448
  • [29] FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Soenjaya, Agus L.
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (02): : 497 - 502
  • [30] Controllability for a new class of fractional neutral integro-differential evolution equations with infinite delay and nonlocal conditions
    Du, Jun
    Jiang, Wei
    Pang, Denghao
    Niazi, Azmat Ullah Khan
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,