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
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 02期
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
  • [41] Ulam-Hyers stability of elliptic partial differential equations in Sobolev spaces
    Andras, Szilard
    Meszaros, Alpar Richard
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 131 - 138
  • [42] Existence and Stability of Ulam-Hyers for Neutral Stochastic Functional Differential Equations
    Selvam, Arunachalam
    Sabarinathan, Sriramulu
    Pinelas, Sandra
    Suvitha, Vaidhiyanathan
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (01)
  • [43] On Ulam-Hyers Stability for a System of Partial Differential Equations of First Order
    Marian, Daniela
    Ciplea, Sorina Anamaria
    Lungu, Nicolaie
    SYMMETRY-BASEL, 2020, 12 (07):
  • [44] ON THE HYERS-ULAM STABILITY OF DELAY DIFFERENTIAL EQUATIONS
    Ogrekci, Suleyman
    Basci, Yasemin
    Misir, Adil
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2022, 85 : 133 - 142
  • [45] GENERALIZED ULAM-HYERS STABILITY OF THE HARMONIC MEAN FUNCTIONAL EQUATION IN TWO VARIABLES
    Ravi, K.
    Rassias, J. M.
    Kumar, B. V. Senthil
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 1 (01): : 1 - 17
  • [46] Generalized Ulam-Hyers Stability of Jensen Functional Equation in Serstnev PN Spaces
    Gordji, M. Eshaghi
    Ghaemi, M. B.
    Majani, H.
    Park, C.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [47] Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations
    Ahmadova, Arzu
    Mahmudov, Nazim, I
    STATISTICS & PROBABILITY LETTERS, 2021, 168
  • [48] HYERS-ULAM-RASSIAS STABILITY FOR FIRST ORDER NEUTRAL DELAY DIFFERENTIAL EQUATION
    Kumari, Mamta
    Valaulikar, Y. S.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 99 - 111
  • [49] On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
    Andras, Sz.
    Kolumban, J. J.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 82 : 1 - 11
  • [50] Ulam-Hyers Stability of Pantograph Hadamard Functional Fractional Stochastic Differential Equations
    Li, Jun
    Tang, Pusen
    Liao, Feng
    Chen, Lin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
12345