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
收藏
页码：3721 / 3731
页数：11
相关论文
共 50 条
  • [41] Fuzzy Integro Dynamic Equations on Time Scales using Fuzzy Laplace Transform Method
    Anuradha, M. N. L.
    Vasavi, C. H.
    Rao, T. Srinivasa
    Kumar, G. Suresh
    ENGINEERING LETTERS, 2023, 31 (03) : 1114 - 1121
  • [42] A Note on Asymptotic Equilibrium for Fuzzy Differential Equations
    Shao, Yabin
    Zhang, Shengui
    Xiao, Yanping
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [43] Sheaf fuzzy problems for functional differential equations
    Phan Van Tri
    Ngo Van Hoa
    Nguyen Dinh Phu
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [44] On the operational solutions of fuzzy fractional differential equations
    Takaci, Djurdjica
    Takaci, Arpad
    Takaci, Aleksandar
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (04) : 1100 - 1113
  • [45] Solving fuzzy fractional differential equations with applications
    Osman, Mawia
    Xia, Yonghui
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 69 : 529 - 559
  • [46] Some remarks on fuzzy differential equations via differential inclusions
    Chalco-Cano, Y.
    Roman-Flores, H.
    FUZZY SETS AND SYSTEMS, 2013, 230 : 3 - 20
  • [47] EXISTENCE AND AVERAGING OF RETARDED FUZZY FUNCTIONAL DIFFERENTIAL EQUATIONS
    Guo, Yuanwei
    Shao, Yabin
    Li, Yang
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (07) : 1595 - 1609
  • [48] Existence theorems for solutions to random fuzzy differential equations
    Malinowski, Marek T.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (06) : 1515 - 1532
  • [49] On the properties of fuzzy differential equations under cross operations
    Laiate, Beatriz
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (06)
  • [50] ULAM-GAVRUTA-RASSIAS STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN FUZZY NORMED MODULES
    Cho, Yeol Je
    Saadati, Reza
    Yang, Young-Oh
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (03) : 409 - 417
12345