Existence uniqueness of mild solutions for ψ-Caputo fractional stochastic evolution equations driven by fBm

被引：0
|
作者：
Min Yang
机构：
[1] Taiyuan University of Technology,College of Mathematics
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
-Caputo fractional derivative; Stochastic evolution equations; Noncompact measure; Fractional Brownian motion;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the existence uniqueness of mild solutions for a class of ψ-Caputo fractional stochastic evolution equations with varying-time delay driven by fBm, which seems to be the first theoretical result of the ψ-Caputo fractional stochastic evolution equations. Alternative conditions to guarantee the existence uniqueness of mild solutions are obtained using fractional calculus, stochastic analysis, fixed point technique, and noncompact measure method. Moreover, an example is presented to illustrate the effectiveness and feasibility of the obtained abstract results.
引用
下载
收藏
相关论文
共 50 条
  • [1] Existence uniqueness of mild solutions for ψ-Caputo fractional stochastic evolution equations driven by fBm
    Yang, Min
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [2] Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations
    Apassara Suechoei
    Parinya Sa Ngiamsunthorn
    Advances in Difference Equations, 2020
  • [3] Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations
    Suechoei, Apassara
    Ngiamsunthorn, Parinya
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [4] EXISTENCE AND REGULARITY OF MILD SOLUTIONS TO FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS
    Zou, G. A.
    Wang, B.
    Zhou, Y.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2018, 13 (01)
  • [5] Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations
    Chen, Churong
    Bohner, Martin
    Jia, Baoguo
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (03) : 857 - 869
  • [6] Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
    Sin, Chung-Sik
    In, Hyok-Chol
    Kim, Kwang-Chol
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [7] Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
    Chung-Sik Sin
    Hyok-Chol In
    Kwang-Chol Kim
    Advances in Difference Equations, 2018
  • [8] An existence and uniqueness of mild solutions of fractional evolution problems
    Jiabin Zuo
    Abdellah Taqbibt
    Mohamed Chaib
    M’hamed ELomari
    J. Vanterler da C. Sousa
    Computational and Applied Mathematics, 2024, 43 (8)
  • [9] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATIONS
    Zhang, Zufeng
    Liu, Bin
    FIXED POINT THEORY, 2014, 15 (01): : 325 - 334
  • [10] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATIONS
    Zhou, Yong
    Zhang, Lu
    Shen, Xiao Hui
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2013, 25 (04) : 557 - 586
12345