Existence of Mild Solutions for a Class of Fractional Non-autonomous Evolution Equations with Delay

被引：0
|
作者：
Bo Zhu
Bao-yan Han
Wen-guang Yu
机构：
[1] Shandong University of Finance and Economics,School of Mathematics and Quantitative Economics
[2] Shandong University of Art and Design,Common Course Teaching Department
[3] Shandong University of Finance and Economics,School of Insurance
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2020年 / 36卷
关键词：
Fractional non-autonomous evolution equations; -resolvent family; Mild solution; Measure of noncompactness; 35A01; 35A24; 34G20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the existence and uniqueness of the mild solutions for a class of fractional non-autonomous evolution equations with delay and Caputo’s fractional derivatives. By using the measure of noncompactness, β-resolvent family, fixed point theorems and Banach contraction mapping principle, we improve and generalizes some related results on this topic. At last, we give an example to illustrate the application of the main results of this paper.
引用
收藏
页码：870 / 878
页数：8
相关论文
共 50 条
  • [1] Existence of Mild Solutions for a Class of Fractional Non-autonomous Evolution Equations with Delay
    Zhu, Bo
    Han, Bao-yan
    Yu, Wen-guang
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 36 (04): : 870 - 878
  • [2] Existence of Mild Solutions for a Class of Fractional Non-autonomous Evolution Equations with Delay
    Bo ZHU
    Bao-yan HAN
    Wen-guang YU
    Acta Mathematicae Applicatae Sinica, 2020, 36 (04) : 870 - 878
  • [3] Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay
    Mishra, Kamla Kant
    Dubey, Shruti
    Baleanu, Dumitru
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
  • [4] Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay
    Kamla Kant Mishra
    Shruti Dubey
    Dumitru Baleanu
    Qualitative Theory of Dynamical Systems, 2022, 21
  • [5] Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions
    Jabeen, Tahira
    Lupulescu, Vasile
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 141 - 153
  • [6] ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS DIFFERENTIAL DELAY EQUATIONS
    Cheng, Rong
    Xu, Junxiang
    Zhang, Dongfeng
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2010, 35 (01) : 139 - 154
  • [7] Study a class of nonlinear fractional non-autonomous evolution equations with delay
    Haide Gou
    Baolin Li
    Journal of Pseudo-Differential Operators and Applications, 2019, 10 : 155 - 176
  • [8] Study a class of nonlinear fractional non-autonomous evolution equations with delay
    Gou, Haide
    Li, Baolin
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (01) : 155 - 176
  • [9] Existence of Ground State Solutions for a Class of Non-Autonomous Fractional Kirchhoff Equations
    Gu, Guangze
    Mu, Changyang
    Yang, Zhipeng
    FRACTAL AND FRACTIONAL, 2024, 8 (02)
  • [10] Study on fractional non-autonomous evolution equations with delay
    Chen, Pengyu
    Zhang, Xuping
    Li, Yongxiang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (05) : 794 - 803
12345