On the Hyers–Ulam stability of Riemann–Liouville multi-order fractional differential equations

被引：0
|
作者：
D. X. Cuong
机构：
[1] Vietnam Maritime University,Department of Mathematics
来源：
Afrika Matematika | 2019年 / 30卷
关键词：
Fractional multi-order systems; Existence and uniqueness solutions; Weighted norm; Fixed point theorem; 47H09; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, by using a Bielecki’s type norm and Banach fixed point theorem, we obtain a result on the Hyers–Ulam stability of Riemann–Liouville multi-order fractional differential equations.
引用
收藏
页码：1041 / 1047
页数：6
相关论文
共 50 条
  • [41] Hyers-Ulam stability of nth order linear differential equations
    Li, Tongxing
    Zada, Akbar
    Faisal, Shah
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2070 - 2075
  • [42] HYERS-ULAM STABILITY OF A CLASS OF DIFFERENTIAL EQUATIONS OF SECOND ORDER
    Abdollahpour, Mohammad Reza
    Park, Choonkil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (05) : 899 - 903
  • [43] Ulam-Hyers-Mittag-Leffler stability for Ψ-Hilfer fractional-order delay differential equations
    Liu, Kui
    Wang, JinRong
    O'Regan, Donal
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [44] Existence and Hyers-Ulam Stability Results for Partial Fractional-Order Delay Differential Equations
    Duman, Okan
    Develi, Faruk
    RESULTS IN MATHEMATICS, 2022, 77 (03)
  • [45] On Ulam–Hyers–Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order
    Zoubida Bouazza
    Mohammed Said Souid
    Vladimir Rakočević
    Afrika Matematika, 2022, 33
  • [46] Hyers–Ulam stability of hypergeometric differential equations
    Mohammad Reza Abdollahpour
    Michael Th. Rassias
    Aequationes mathematicae, 2019, 93 : 691 - 698
  • [47] Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations
    Kui Liu
    JinRong Wang
    Donal O’Regan
    Advances in Difference Equations, 2019
  • [48] Attractivity and Ulam-Hyers Stability Results for Fractional Delay Differential Equations
    Vivek, D.
    Kanagarajan, K.
    Elsayed, E. M.
    FILOMAT, 2022, 36 (17) : 5707 - 5724
  • [49] Global Existence and Ulam-Hyers Stability of Ψ-Hilfer Fractional Differential Equations
    Kucche, Kishor Deoman
    Kharade, Jyoti Pramod
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (03): : 647 - 671
  • [50] HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE
    Baleanu, Dumitru
    Kandasamy, Banupriya
    Kasinathan, Ramkumar
    Kasinathan, Ravikumar
    Sandrasekaran, Varshini
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (03): : 967 - 982
12345