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

页码：811 / 824

页数：14

共 50 条

[41] On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions
El-Sayed, Ahmed Mohamad
Al-Issa, Shorouk Mahmoud
El Miari, Maysaa Mohamad
DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
[42] Elementary remarks on Ulam-Hyers stability of linear functional equations
Forti, Gian-Luigi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 109 - 118
[43] On ψ-quantum fractional operators: Existence, uniqueness and Ulam-Hyers stability
Limpanukorn, Norravich
Ahmed, Idris
Ibrahim, Muhammad Jamilu
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2024, 42 (02): : 313 - 320
[44] Covering mappings and Ulam-Hyers stability results for coincidence problems
Mlesnite, Oana
CARPATHIAN JOURNAL OF MATHEMATICS, 2015, 31 (01) : 97 - 104
[45] ULAM-HYERS STABILITY OF OPERATORIAL INCLUSIONS IN COMPLETE GAUGE SPACES
Petru, T. P.
Bota, M. -F.
FIXED POINT THEORY, 2012, 13 (02): : 641 - 649
[46] Existence and Ulam-Hyers stability results for multivalued coincidence problems
Mlesnite, Oana
Petrusel, Adrian
FILOMAT, 2012, 26 (05) : 965 - 976
[47] Existence and β-Ulam-Hyers stability for a class of fractional differential equations with non-instantaneous impulses
Xiulan Yu
Advances in Difference Equations, 2015
[48] Generalised Ulam-Hyers Stability Analysis for System of Additive Functional Equation in Fuzzy and Random Normed Spaces: Direct and Fixed Point Approach
Agilan, P.
Julietraja, K.
Aljohani, Sarah
Mlaiki, Nabil
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
[49] Ulam-Hyers stability and exponentially stable evolution equations in Banach spaces
Buica, Adriana
CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (02) : 339 - 344
[50] Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions
Zada, Akbar
Alzabut, Jehad
Waheed, Hira
Popa, Ioan-Lucian
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

← 1 2 3 4 5 →