Hyers-Ulam stability of Hermite fuzzy differential equations and fuzzy Mellin transform

被引：4

作者：

Ren, Wenjuan ^{[1
]}

Yang, Zhanpeng ^{[1
]}

Sun, Xian ^{[1
]}

Qi, Min ^{[2
]}

机构：

[1] Chinese Acad Sci, Inst Elect, Key Lab Technol Geospatial Informat Proc & Applic, Beijing 100190, Peoples R China

[2] Beijing Coll Finance & Commerce, Basic Teaching Dept, Beijing, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 03期

关键词：

Mellin transform method; Hermite fuzzy differential equation; H-difference; LINEAR FUNCTIONAL-EQUATION; INTEGRAL-EQUATIONS; LAPLACE TRANSFORMS; VALUED FUNCTIONS; SPACES;

D O I：

10.3233/JIFS-18523

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce a fuzzy Mellin transform method for solving Hermite fuzzy differential equations. The fuzzy Mellin transform reduce the problem of solving a Hermite fuzzy differential equation to a problem of solving a difference equation, whose inverse transform gives the solution of the fuzzy differential equation at hands. Under some conditions, we also give some Hyers-Ulam stability result of Hermite fuzzy differential equations.

引用

页码：3721 / 3731

页数：11

共 50 条

[21] A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces
Brzdek, Janusz
Cieplinski, Krzysztof
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (01) : 68 - 75
[22] Non-Archimedean Hyers-Ulam Stability of an Additive-Quadratic Mapping
Kenary, Hassan Azadi
Rassias, Themistocles M.
Rezaei, H.
Talebzadeh, S.
Park, Won-Gil
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[23] Hyers-Ulam-Rassias Stability of Some Additive Fuzzy Set-Valued Functional Equations with the Fixed Point Alternative
Shen, Yonghong
Lan, Yaoyao
Chen, Wei
ABSTRACT AND APPLIED ANALYSIS, 2014,
[24] Ulam-Hyers stability for partial differential inclusions
Lazar, Vasile L.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (21) : 1 - 19
[25] Ulam-Hyers-Rassias Stability of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative
El-hady, El-sayed
Ben Makhlouf, Abdellatif
Boulaaras, Salah
Mchiri, Lassaad
JOURNAL OF FUNCTION SPACES, 2022, 2022
[26] The Fuzzy Differential Transform Method for the Solution of the System of Fuzzy Integro-Differential Equations Arising in Biological Model
Routaray, Mitali
Sahu, Prakash Kumar
Chalishajar, Dimplekumar Navinchandra
MATHEMATICS, 2023, 11 (18)
[27] Hyers-Ulam-Rassias Fuzzy Stability of Bi-additive θ-random operator inequalities: A fixed point technique
Madadi, Masoumeh
Saadati, Reza
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) : 4767 - 4777
[28] Ulam-Hyers stability of dynamic equations on time scales via Picard operators
Andras, Szilard
Meszaros, Alpar Richard
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) : 4853 - 4864
[29] On random fuzzy differential equations
Malinowski, Marek T.
FUZZY SETS AND SYSTEMS, 2009, 160 (21) : 3152 - 3165
[30] Generalization of Seikkala derivative and differential transform method for fuzzy Volterra integro-differential equations
Biswas, Suvankar
Roy, Tapan Kumar
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (04) : 2795 - 2806

← 1 2 3 4 5 →