Ulam-Hyers stability for fuzzy delay differential equation

被引:0
|
作者
Vu, Ho [1 ]
Dong, Le Si [1 ]
机构
[1] Banking Univ Ho Chi Minh City, Fac Math Econ, Ho Chi Minh City, Vietnam
关键词
Ulam-Hyers stability; fuzzy differential equations; generalized differentiability; successive approximation method; fixed point theory; QUOTIENT SPACE;
D O I
10.22075/ijnaa.2019.19065.2053
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we aim to study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of the fuzzy delay differential equation under some suitable conditions by the fixed point technique and successive approximation method. Moreover, we provide two illustrative examples of application of our results.
引用
收藏
页码:811 / 824
页数:14
相关论文
共 50 条
  • [21] Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations
    Dai, Qun
    Gao, Ruimei
    Li, Zhe
    Wang, Changjia
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [22] Ulam-Hyers Stability of Trigonometric Functional Equation with Involution
    Chung, Jaeyoung
    Choi, Chang-Kwon
    Kim, Jongjin
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [23] Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
    Sousa, J. Vanterler da C.
    Capelas de Oliveira, E.
    APPLIED MATHEMATICS LETTERS, 2018, 81 : 50 - 56
  • [24] GENERALIZED ULAM-HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Ibrahim, Rabha W.
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (05)
  • [25] An investigation into the characteristics of VFIDEs with delay: solvability criteria, Ulam-Hyers-Rassias and Ulam-Hyers stability
    Miah, Bapan Ali
    Sen, Mausumi
    Murugan, R.
    Sarkar, Nimai
    Gupta, Damini
    JOURNAL OF ANALYSIS, 2024, 32 (5): : 2749 - 2766
  • [26] Ulam-Hyers stability of pantograph fractional stochastic differential equations
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    Rguigui, Hafedh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (04) : 4134 - 4144
  • [27] ULAM-HYERS STABILITY OF A HELMHOLTZ NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
    Selvan, A. Ponmana
    Murali, R.
    Varadharajan, K.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 21 (01): : 213 - 224
  • [28] Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept
    Ho Vu
    Truong Vinh An
    Ngo Van Hoa
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (02) : 2245 - 2259
  • [29] Ulam-Hyers Stability for Fractional Differential Equations in Quaternionic Analysis
    Yang, Zhan-Peng
    Xu, Tian-Zhou
    Qi, Min
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) : 469 - 478
  • [30] Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation
    Ege, Ozgur
    Ayadi, Souad
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)